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Finding the Fourth Proportional to 531,784, 733,861.92 and 293,320

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Solution

The fourth proportional to 531,784, 733,861.92 and 293,320 is: 404,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,784 : 733,861.92 = 293,320 : x
  2. Step 2: Convert to fraction form
    531,784/733,861.92 = 293,320/x
  3. Step 3: Cross multiply
    531,784x = 733,861.92 × 293,320
  4. Step 4: Simplify right side
    531,784x = 215,256,378,374.40
  5. Step 5: Solve for x
    x = 215,256,378,374.40/531,784
  6. Step 6: Final answer
    x = 404,781.60

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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.