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Finding the Fourth Proportional to 10,478,978.20, 15,726,761.70 and 4,092,290.20

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Solution

The fourth proportional to 10,478,978.20, 15,726,761.70 and 4,092,290.20 is: 6,141,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478,978.20 : 15,726,761.70 = 4,092,290.20 : x
  2. Step 2: Convert to fraction form
    10,478,978.20/15,726,761.70 = 4,092,290.20/x
  3. Step 3: Cross multiply
    10,478,978.20x = 15,726,761.70 × 4,092,290.20
  4. Step 4: Simplify right side
    10,478,978.20x = 64,358,472,782,645.34
  5. Step 5: Solve for x
    x = 64,358,472,782,645.34/10,478,978.20
  6. Step 6: Final answer
    x = 6,141,674.46

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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.