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Finding the Fourth Proportional to 402,938.55, 605,662.92 and 254,135.07

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Solution

The fourth proportional to 402,938.55, 605,662.92 and 254,135.07 is: 381,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,938.55 : 605,662.92 = 254,135.07 : x
  2. Step 2: Convert to fraction form
    402,938.55/605,662.92 = 254,135.07/x
  3. Step 3: Cross multiply
    402,938.55x = 605,662.92 × 254,135.07
  4. Step 4: Simplify right side
    402,938.55x = 153,920,188,570.60
  5. Step 5: Solve for x
    x = 153,920,188,570.60/402,938.55
  6. Step 6: Final answer
    x = 381,994.20

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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.