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Finding the Fourth Proportional to 509,002.56, 763,503.84 and 193,384.80

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Solution

The fourth proportional to 509,002.56, 763,503.84 and 193,384.80 is: 290,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,002.56 : 763,503.84 = 193,384.80 : x
  2. Step 2: Convert to fraction form
    509,002.56/763,503.84 = 193,384.80/x
  3. Step 3: Cross multiply
    509,002.56x = 763,503.84 × 193,384.80
  4. Step 4: Simplify right side
    509,002.56x = 147,650,037,397.63
  5. Step 5: Solve for x
    x = 147,650,037,397.63/509,002.56
  6. Step 6: Final answer
    x = 290,077.20

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.