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Finding the Fourth Proportional to 284,652.87, 392,822.49 and 155,591.52

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Solution

The fourth proportional to 284,652.87, 392,822.49 and 155,591.52 is: 214,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,652.87 : 392,822.49 = 155,591.52 : x
  2. Step 2: Convert to fraction form
    284,652.87/392,822.49 = 155,591.52/x
  3. Step 3: Cross multiply
    284,652.87x = 392,822.49 × 155,591.52
  4. Step 4: Simplify right side
    284,652.87x = 61,119,847,419.67
  5. Step 5: Solve for x
    x = 61,119,847,419.67/284,652.87
  6. Step 6: Final answer
    x = 214,717.13

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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.