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Finding the Fourth Proportional to 284,011.80, 391,935.42 and 156,701.40

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Solution

The fourth proportional to 284,011.80, 391,935.42 and 156,701.40 is: 216,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,011.80 : 391,935.42 = 156,701.40 : x
  2. Step 2: Convert to fraction form
    284,011.80/391,935.42 = 156,701.40/x
  3. Step 3: Cross multiply
    284,011.80x = 391,935.42 × 156,701.40
  4. Step 4: Simplify right side
    284,011.80x = 61,416,829,023.59
  5. Step 5: Solve for x
    x = 61,416,829,023.59/284,011.80
  6. Step 6: Final answer
    x = 216,247.46

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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.