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Finding the Fourth Proportional to 402,349.20, 603,604.80 and 118,039.20

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Solution

The fourth proportional to 402,349.20, 603,604.80 and 118,039.20 is: 177,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,349.20 : 603,604.80 = 118,039.20 : x
  2. Step 2: Convert to fraction form
    402,349.20/603,604.80 = 118,039.20/x
  3. Step 3: Cross multiply
    402,349.20x = 603,604.80 × 118,039.20
  4. Step 4: Simplify right side
    402,349.20x = 71,249,027,708.16
  5. Step 5: Solve for x
    x = 71,249,027,708.16/402,349.20
  6. Step 6: Final answer
    x = 177,082.56

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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.