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Finding the Fourth Proportional to 284,047.86, 391,987.40 and 156,723.46

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Solution

The fourth proportional to 284,047.86, 391,987.40 and 156,723.46 is: 216,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,047.86 : 391,987.40 = 156,723.46 : x
  2. Step 2: Convert to fraction form
    284,047.86/391,987.40 = 156,723.46/x
  3. Step 3: Cross multiply
    284,047.86x = 391,987.40 × 156,723.46
  4. Step 4: Simplify right side
    284,047.86x = 61,433,620,722.39
  5. Step 5: Solve for x
    x = 61,433,620,722.39/284,047.86
  6. Step 6: Final answer
    x = 216,279.12

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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.