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Finding the Fourth Proportional to 535,070.40, 738,396.96 and 293,347.78

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Solution

The fourth proportional to 535,070.40, 738,396.96 and 293,347.78 is: 404,819.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,070.40 : 738,396.96 = 293,347.78 : x
  2. Step 2: Convert to fraction form
    535,070.40/738,396.96 = 293,347.78/x
  3. Step 3: Cross multiply
    535,070.40x = 738,396.96 × 293,347.78
  4. Step 4: Simplify right side
    535,070.40x = 216,607,108,974.75
  5. Step 5: Solve for x
    x = 216,607,108,974.75/535,070.40
  6. Step 6: Final answer
    x = 404,819.83

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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.