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Finding the Fourth Proportional to 614,310.76, 921,480.72 and 165,032.20

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Solution

The fourth proportional to 614,310.76, 921,480.72 and 165,032.20 is: 247,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,310.76 : 921,480.72 = 165,032.20 : x
  2. Step 2: Convert to fraction form
    614,310.76/921,480.72 = 165,032.20/x
  3. Step 3: Cross multiply
    614,310.76x = 921,480.72 × 165,032.20
  4. Step 4: Simplify right side
    614,310.76x = 152,073,990,479.18
  5. Step 5: Solve for x
    x = 152,073,990,479.18/614,310.76
  6. Step 6: Final answer
    x = 247,552.22

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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.