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Finding the Fourth Proportional to 268,499.42, 402,592.53 and 207,686.78

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Solution

The fourth proportional to 268,499.42, 402,592.53 and 207,686.78 is: 311,409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,499.42 : 402,592.53 = 207,686.78 : x
  2. Step 2: Convert to fraction form
    268,499.42/402,592.53 = 207,686.78/x
  3. Step 3: Cross multiply
    268,499.42x = 402,592.53 × 207,686.78
  4. Step 4: Simplify right side
    268,499.42x = 83,613,146,207.75
  5. Step 5: Solve for x
    x = 83,613,146,207.75/268,499.42
  6. Step 6: Final answer
    x = 311,409.04

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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.