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Finding the Fourth Proportional to 289,002.20, 433,503.30 and 149,034.20

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Solution

The fourth proportional to 289,002.20, 433,503.30 and 149,034.20 is: 223,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,002.20 : 433,503.30 = 149,034.20 : x
  2. Step 2: Convert to fraction form
    289,002.20/433,503.30 = 149,034.20/x
  3. Step 3: Cross multiply
    289,002.20x = 433,503.30 × 149,034.20
  4. Step 4: Simplify right side
    289,002.20x = 64,606,817,512.86
  5. Step 5: Solve for x
    x = 64,606,817,512.86/289,002.20
  6. Step 6: Final answer
    x = 223,551.30

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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.