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Finding the Fourth Proportional to 491,010,998.60, 736,516,497.90 and 127,505,354.60

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Solution

The fourth proportional to 491,010,998.60, 736,516,497.90 and 127,505,354.60 is: 191,258,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,010,998.60 : 736,516,497.90 = 127,505,354.60 : x
  2. Step 2: Convert to fraction form
    491,010,998.60/736,516,497.90 = 127,505,354.60/x
  3. Step 3: Cross multiply
    491,010,998.60x = 736,516,497.90 × 127,505,354.60
  4. Step 4: Simplify right side
    491,010,998.60x = 93,909,797,233,489,648
  5. Step 5: Solve for x
    x = 93,909,797,233,489,648/491,010,998.60
  6. Step 6: Final answer
    x = 191,258,031.90

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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.