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Finding the Fourth Proportional to 509,397.46, 764,052.17 and 172,430.90

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Solution

The fourth proportional to 509,397.46, 764,052.17 and 172,430.90 is: 258,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,397.46 : 764,052.17 = 172,430.90 : x
  2. Step 2: Convert to fraction form
    509,397.46/764,052.17 = 172,430.90/x
  3. Step 3: Cross multiply
    509,397.46x = 764,052.17 × 172,430.90
  4. Step 4: Simplify right side
    509,397.46x = 131,746,203,320.05
  5. Step 5: Solve for x
    x = 131,746,203,320.05/509,397.46
  6. Step 6: Final answer
    x = 258,631.45

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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.