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Finding the Fourth Proportional to 402,287.20, 603,511.80 and 117,977.20

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Solution

The fourth proportional to 402,287.20, 603,511.80 and 117,977.20 is: 176,989.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,287.20 : 603,511.80 = 117,977.20 : x
  2. Step 2: Convert to fraction form
    402,287.20/603,511.80 = 117,977.20/x
  3. Step 3: Cross multiply
    402,287.20x = 603,511.80 × 117,977.20
  4. Step 4: Simplify right side
    402,287.20x = 71,200,632,330.96
  5. Step 5: Solve for x
    x = 71,200,632,330.96/402,287.20
  6. Step 6: Final answer
    x = 176,989.55

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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.