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Finding the Fourth Proportional to 506,765.70, 759,711.15 and 257,447.70

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Solution

The fourth proportional to 506,765.70, 759,711.15 and 257,447.70 is: 385,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,765.70 : 759,711.15 = 257,447.70 : x
  2. Step 2: Convert to fraction form
    506,765.70/759,711.15 = 257,447.70/x
  3. Step 3: Cross multiply
    506,765.70x = 759,711.15 × 257,447.70
  4. Step 4: Simplify right side
    506,765.70x = 195,585,888,231.86
  5. Step 5: Solve for x
    x = 195,585,888,231.86/506,765.70
  6. Step 6: Final answer
    x = 385,949.34

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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.