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Finding the Fourth Proportional to 266,898.48, 400,404.80 and 98,419.28

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Solution

The fourth proportional to 266,898.48, 400,404.80 and 98,419.28 is: 147,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,898.48 : 400,404.80 = 98,419.28 : x
  2. Step 2: Convert to fraction form
    266,898.48/400,404.80 = 98,419.28/x
  3. Step 3: Cross multiply
    266,898.48x = 400,404.80 × 98,419.28
  4. Step 4: Simplify right side
    266,898.48x = 39,407,552,124.54
  5. Step 5: Solve for x
    x = 39,407,552,124.54/266,898.48
  6. Step 6: Final answer
    x = 147,649.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.