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Finding the Fourth Proportional to 402,125.76, 603,182.40 and 98,522.88

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Solution

The fourth proportional to 402,125.76, 603,182.40 and 98,522.88 is: 147,782.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,125.76 : 603,182.40 = 98,522.88 : x
  2. Step 2: Convert to fraction form
    402,125.76/603,182.40 = 98,522.88/x
  3. Step 3: Cross multiply
    402,125.76x = 603,182.40 × 98,522.88
  4. Step 4: Simplify right side
    402,125.76x = 59,427,267,213.31
  5. Step 5: Solve for x
    x = 59,427,267,213.31/402,125.76
  6. Step 6: Final answer
    x = 147,782.79

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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.