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Finding the Fourth Proportional to 487,848, 731,769.84 and 172,228.80

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Solution

The fourth proportional to 487,848, 731,769.84 and 172,228.80 is: 258,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,848 : 731,769.84 = 172,228.80 : x
  2. Step 2: Convert to fraction form
    487,848/731,769.84 = 172,228.80/x
  3. Step 3: Cross multiply
    487,848x = 731,769.84 × 172,228.80
  4. Step 4: Simplify right side
    487,848x = 126,031,841,419.39
  5. Step 5: Solve for x
    x = 126,031,841,419.39/487,848
  6. Step 6: Final answer
    x = 258,342.44

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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.