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Finding the Fourth Proportional to 284,160.33, 392,139.38 and 156,835.94

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Solution

The fourth proportional to 284,160.33, 392,139.38 and 156,835.94 is: 216,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,160.33 : 392,139.38 = 156,835.94 : x
  2. Step 2: Convert to fraction form
    284,160.33/392,139.38 = 156,835.94/x
  3. Step 3: Cross multiply
    284,160.33x = 392,139.38 × 156,835.94
  4. Step 4: Simplify right side
    284,160.33x = 61,501,545,528.44
  5. Step 5: Solve for x
    x = 61,501,545,528.44/284,160.33
  6. Step 6: Final answer
    x = 216,432.55

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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.