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Finding the Fourth Proportional to 655,456.34, 904,663.74 and 413,575.97

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Solution

The fourth proportional to 655,456.34, 904,663.74 and 413,575.97 is: 570,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,456.34 : 904,663.74 = 413,575.97 : x
  2. Step 2: Convert to fraction form
    655,456.34/904,663.74 = 413,575.97/x
  3. Step 3: Cross multiply
    655,456.34x = 904,663.74 × 413,575.97
  4. Step 4: Simplify right side
    655,456.34x = 374,147,179,271.01
  5. Step 5: Solve for x
    x = 374,147,179,271.01/655,456.34
  6. Step 6: Final answer
    x = 570,819.38

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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.