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Finding the Fourth Proportional to 497,027.70, 745,930.35 and 230,821.20

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Solution

The fourth proportional to 497,027.70, 745,930.35 and 230,821.20 is: 346,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,027.70 : 745,930.35 = 230,821.20 : x
  2. Step 2: Convert to fraction form
    497,027.70/745,930.35 = 230,821.20/x
  3. Step 3: Cross multiply
    497,027.70x = 745,930.35 × 230,821.20
  4. Step 4: Simplify right side
    497,027.70x = 172,176,538,503.42
  5. Step 5: Solve for x
    x = 172,176,538,503.42/497,027.70
  6. Step 6: Final answer
    x = 346,412.36

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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.