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Finding the Fourth Proportional to 288,462.49, 398,101.50 and 159,412.32

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Solution

The fourth proportional to 288,462.49, 398,101.50 and 159,412.32 is: 220,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,462.49 : 398,101.50 = 159,412.32 : x
  2. Step 2: Convert to fraction form
    288,462.49/398,101.50 = 159,412.32/x
  3. Step 3: Cross multiply
    288,462.49x = 398,101.50 × 159,412.32
  4. Step 4: Simplify right side
    288,462.49x = 63,462,283,710.48
  5. Step 5: Solve for x
    x = 63,462,283,710.48/288,462.49
  6. Step 6: Final answer
    x = 220,001.86

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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.