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Finding the Fourth Proportional to 358,770, 538,221.13 and 148,424.34

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Solution

The fourth proportional to 358,770, 538,221.13 and 148,424.34 is: 222,663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,770 : 538,221.13 = 148,424.34 : x
  2. Step 2: Convert to fraction form
    358,770/538,221.13 = 148,424.34/x
  3. Step 3: Cross multiply
    358,770x = 538,221.13 × 148,424.34
  4. Step 4: Simplify right side
    358,770x = 79,885,115,994.30
  5. Step 5: Solve for x
    x = 79,885,115,994.30/358,770
  6. Step 6: Final answer
    x = 222,663.87

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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.