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Finding the Fourth Proportional to 509,138.20, 763,512.90 and 154,034.20

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Solution

The fourth proportional to 509,138.20, 763,512.90 and 154,034.20 is: 230,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,138.20 : 763,512.90 = 154,034.20 : x
  2. Step 2: Convert to fraction form
    509,138.20/763,512.90 = 154,034.20/x
  3. Step 3: Cross multiply
    509,138.20x = 763,512.90 × 154,034.20
  4. Step 4: Simplify right side
    509,138.20x = 117,607,098,741.18
  5. Step 5: Solve for x
    x = 117,607,098,741.18/509,138.20
  6. Step 6: Final answer
    x = 230,992.49

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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.