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Finding the Fourth Proportional to 280,685.16, 421,132.50 and 168,445.89

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Solution

The fourth proportional to 280,685.16, 421,132.50 and 168,445.89 is: 252,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,685.16 : 421,132.50 = 168,445.89 : x
  2. Step 2: Convert to fraction form
    280,685.16/421,132.50 = 168,445.89/x
  3. Step 3: Cross multiply
    280,685.16x = 421,132.50 × 168,445.89
  4. Step 4: Simplify right side
    280,685.16x = 70,938,038,770.43
  5. Step 5: Solve for x
    x = 70,938,038,770.43/280,685.16
  6. Step 6: Final answer
    x = 252,731.70

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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.