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Finding the Fourth Proportional to 509,118.62, 762,515.17 and 243,066.83

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Solution

The fourth proportional to 509,118.62, 762,515.17 and 243,066.83 is: 364,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,118.62 : 762,515.17 = 243,066.83 : x
  2. Step 2: Convert to fraction form
    509,118.62/762,515.17 = 243,066.83/x
  3. Step 3: Cross multiply
    509,118.62x = 762,515.17 × 243,066.83
  4. Step 4: Simplify right side
    509,118.62x = 185,342,140,778.57
  5. Step 5: Solve for x
    x = 185,342,140,778.57/509,118.62
  6. Step 6: Final answer
    x = 364,045.11

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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.