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Finding the Fourth Proportional to 286,011.98, 394,695.44 and 156,952.59

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Solution

The fourth proportional to 286,011.98, 394,695.44 and 156,952.59 is: 216,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,011.98 : 394,695.44 = 156,952.59 : x
  2. Step 2: Convert to fraction form
    286,011.98/394,695.44 = 156,952.59/x
  3. Step 3: Cross multiply
    286,011.98x = 394,695.44 × 156,952.59
  4. Step 4: Simplify right side
    286,011.98x = 61,948,471,569.19
  5. Step 5: Solve for x
    x = 61,948,471,569.19/286,011.98
  6. Step 6: Final answer
    x = 216,593.97

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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.