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Finding the Fourth Proportional to 284,138.34, 392,111.28 and 156,813.54

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Solution

The fourth proportional to 284,138.34, 392,111.28 and 156,813.54 is: 216,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,138.34 : 392,111.28 = 156,813.54 : x
  2. Step 2: Convert to fraction form
    284,138.34/392,111.28 = 156,813.54/x
  3. Step 3: Cross multiply
    284,138.34x = 392,111.28 × 156,813.54
  4. Step 4: Simplify right side
    284,138.34x = 61,488,357,890.73
  5. Step 5: Solve for x
    x = 61,488,357,890.73/284,138.34
  6. Step 6: Final answer
    x = 216,402.89

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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.