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Finding the Fourth Proportional to 402,938.80, 604,408.20 and 166,202.80

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Solution

The fourth proportional to 402,938.80, 604,408.20 and 166,202.80 is: 249,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,938.80 : 604,408.20 = 166,202.80 : x
  2. Step 2: Convert to fraction form
    402,938.80/604,408.20 = 166,202.80/x
  3. Step 3: Cross multiply
    402,938.80x = 604,408.20 × 166,202.80
  4. Step 4: Simplify right side
    402,938.80x = 100,454,335,182.96
  5. Step 5: Solve for x
    x = 100,454,335,182.96/402,938.80
  6. Step 6: Final answer
    x = 249,304.20

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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.