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Finding the Fourth Proportional to 284,005.80, 391,927.14 and 156,695.40

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Solution

The fourth proportional to 284,005.80, 391,927.14 and 156,695.40 is: 216,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,005.80 : 391,927.14 = 156,695.40 : x
  2. Step 2: Convert to fraction form
    284,005.80/391,927.14 = 156,695.40/x
  3. Step 3: Cross multiply
    284,005.80x = 391,927.14 × 156,695.40
  4. Step 4: Simplify right side
    284,005.80x = 61,413,179,973.16
  5. Step 5: Solve for x
    x = 61,413,179,973.16/284,005.80
  6. Step 6: Final answer
    x = 216,239.18

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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.