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Finding the Fourth Proportional to 402,090, 603,086.40 and 132,204.48

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Solution

The fourth proportional to 402,090, 603,086.40 and 132,204.48 is: 198,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,090 : 603,086.40 = 132,204.48 : x
  2. Step 2: Convert to fraction form
    402,090/603,086.40 = 132,204.48/x
  3. Step 3: Cross multiply
    402,090x = 603,086.40 × 132,204.48
  4. Step 4: Simplify right side
    402,090x = 79,730,723,907.07
  5. Step 5: Solve for x
    x = 79,730,723,907.07/402,090
  6. Step 6: Final answer
    x = 198,290.74

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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.