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Finding the Fourth Proportional to 531,429.30, 733,355.28 and 289,708.02

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Solution

The fourth proportional to 531,429.30, 733,355.28 and 289,708.02 is: 399,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,429.30 : 733,355.28 = 289,708.02 : x
  2. Step 2: Convert to fraction form
    531,429.30/733,355.28 = 289,708.02/x
  3. Step 3: Cross multiply
    531,429.30x = 733,355.28 × 289,708.02
  4. Step 4: Simplify right side
    531,429.30x = 212,458,906,125.35
  5. Step 5: Solve for x
    x = 212,458,906,125.35/531,429.30
  6. Step 6: Final answer
    x = 399,787.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.