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Finding the Fourth Proportional to 493,354.40, 740,031.60 and 138,428.60

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Solution

The fourth proportional to 493,354.40, 740,031.60 and 138,428.60 is: 207,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,354.40 : 740,031.60 = 138,428.60 : x
  2. Step 2: Convert to fraction form
    493,354.40/740,031.60 = 138,428.60/x
  3. Step 3: Cross multiply
    493,354.40x = 740,031.60 × 138,428.60
  4. Step 4: Simplify right side
    493,354.40x = 102,441,538,343.76
  5. Step 5: Solve for x
    x = 102,441,538,343.76/493,354.40
  6. Step 6: Final answer
    x = 207,642.90

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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.