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Finding the Fourth Proportional to 284,658.09, 392,829.71 and 155,596.74

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Solution

The fourth proportional to 284,658.09, 392,829.71 and 155,596.74 is: 214,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,658.09 : 392,829.71 = 155,596.74 : x
  2. Step 2: Convert to fraction form
    284,658.09/392,829.71 = 155,596.74/x
  3. Step 3: Cross multiply
    284,658.09x = 392,829.71 × 155,596.74
  4. Step 4: Simplify right side
    284,658.09x = 61,123,022,251.15
  5. Step 5: Solve for x
    x = 61,123,022,251.15/284,658.09
  6. Step 6: Final answer
    x = 214,724.35

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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.