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Finding the Fourth Proportional to 284,709.47, 392,882.20 and 157,377.47

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Solution

The fourth proportional to 284,709.47, 392,882.20 and 157,377.47 is: 217,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,709.47 : 392,882.20 = 157,377.47 : x
  2. Step 2: Convert to fraction form
    284,709.47/392,882.20 = 157,377.47/x
  3. Step 3: Cross multiply
    284,709.47x = 392,882.20 × 157,377.47
  4. Step 4: Simplify right side
    284,709.47x = 61,830,804,286.18
  5. Step 5: Solve for x
    x = 61,830,804,286.18/284,709.47
  6. Step 6: Final answer
    x = 217,171.58

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1.5x scale

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.