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Finding the Fourth Proportional to 284,601.61, 392,716.78 and 157,269.61

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Solution

The fourth proportional to 284,601.61, 392,716.78 and 157,269.61 is: 217,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,601.61 : 392,716.78 = 157,269.61 : x
  2. Step 2: Convert to fraction form
    284,601.61/392,716.78 = 157,269.61/x
  3. Step 3: Cross multiply
    284,601.61x = 392,716.78 × 157,269.61
  4. Step 4: Simplify right side
    284,601.61x = 61,762,414,831.06
  5. Step 5: Solve for x
    x = 61,762,414,831.06/284,601.61
  6. Step 6: Final answer
    x = 217,013.58

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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.