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Finding the Fourth Proportional to 284,015.73, 391,944.11 and 156,699.93

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Solution

The fourth proportional to 284,015.73, 391,944.11 and 156,699.93 is: 216,247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,015.73 : 391,944.11 = 156,699.93 : x
  2. Step 2: Convert to fraction form
    284,015.73/391,944.11 = 156,699.93/x
  3. Step 3: Cross multiply
    284,015.73x = 391,944.11 × 156,699.93
  4. Step 4: Simplify right side
    284,015.73x = 61,417,614,600.91
  5. Step 5: Solve for x
    x = 61,417,614,600.91/284,015.73
  6. Step 6: Final answer
    x = 216,247.23

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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.