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Finding the Fourth Proportional to 284,403.61, 392,443.41 and 157,071.61

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Solution

The fourth proportional to 284,403.61, 392,443.41 and 157,071.61 is: 216,740.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,403.61 : 392,443.41 = 157,071.61 : x
  2. Step 2: Convert to fraction form
    284,403.61/392,443.41 = 157,071.61/x
  3. Step 3: Cross multiply
    284,403.61x = 392,443.41 × 157,071.61
  4. Step 4: Simplify right side
    284,403.61x = 61,641,718,242.59
  5. Step 5: Solve for x
    x = 61,641,718,242.59/284,403.61
  6. Step 6: Final answer
    x = 216,740.28

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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.