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Finding the Fourth Proportional to 284,757.76, 392,963.52 and 157,438.72

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Solution

The fourth proportional to 284,757.76, 392,963.52 and 157,438.72 is: 217,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,757.76 : 392,963.52 = 157,438.72 : x
  2. Step 2: Convert to fraction form
    284,757.76/392,963.52 = 157,438.72/x
  3. Step 3: Cross multiply
    284,757.76x = 392,963.52 × 157,438.72
  4. Step 4: Simplify right side
    284,757.76x = 61,867,673,595.49
  5. Step 5: Solve for x
    x = 61,867,673,595.49/284,757.76
  6. Step 6: Final answer
    x = 217,264.22

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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.