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Finding the Fourth Proportional to 408,084.60, 612,126.90 and 282,113.40

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Solution

The fourth proportional to 408,084.60, 612,126.90 and 282,113.40 is: 423,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,084.60 : 612,126.90 = 282,113.40 : x
  2. Step 2: Convert to fraction form
    408,084.60/612,126.90 = 282,113.40/x
  3. Step 3: Cross multiply
    408,084.60x = 612,126.90 × 282,113.40
  4. Step 4: Simplify right side
    408,084.60x = 172,689,200,990.46
  5. Step 5: Solve for x
    x = 172,689,200,990.46/408,084.60
  6. Step 6: Final answer
    x = 423,170.10

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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.