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Finding the Fourth Proportional to 284,381.08, 392,443.48 and 157,053.94

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Solution

The fourth proportional to 284,381.08, 392,443.48 and 157,053.94 is: 216,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,381.08 : 392,443.48 = 157,053.94 : x
  2. Step 2: Convert to fraction form
    284,381.08/392,443.48 = 157,053.94/x
  3. Step 3: Cross multiply
    284,381.08x = 392,443.48 × 157,053.94
  4. Step 4: Simplify right side
    284,381.08x = 61,634,793,976.52
  5. Step 5: Solve for x
    x = 61,634,793,976.52/284,381.08
  6. Step 6: Final answer
    x = 216,733.11

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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.