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Finding the Fourth Proportional to 283,681.80, 391,489.62 and 162,845.16

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Solution

The fourth proportional to 283,681.80, 391,489.62 and 162,845.16 is: 224,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,681.80 : 391,489.62 = 162,845.16 : x
  2. Step 2: Convert to fraction form
    283,681.80/391,489.62 = 162,845.16/x
  3. Step 3: Cross multiply
    283,681.80x = 391,489.62 × 162,845.16
  4. Step 4: Simplify right side
    283,681.80x = 63,752,189,807.24
  5. Step 5: Solve for x
    x = 63,752,189,807.24/283,681.80
  6. Step 6: Final answer
    x = 224,731.34

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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.