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Finding the Fourth Proportional to 268,497.42, 402,589.53 and 207,684.78

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Solution

The fourth proportional to 268,497.42, 402,589.53 and 207,684.78 is: 311,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,497.42 : 402,589.53 = 207,684.78 : x
  2. Step 2: Convert to fraction form
    268,497.42/402,589.53 = 207,684.78/x
  3. Step 3: Cross multiply
    268,497.42x = 402,589.53 × 207,684.78
  4. Step 4: Simplify right side
    268,497.42x = 83,611,717,968.35
  5. Step 5: Solve for x
    x = 83,611,717,968.35/268,497.42
  6. Step 6: Final answer
    x = 311,406.04

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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.