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Finding the Fourth Proportional to 614,309.76, 921,479.22 and 165,031.20

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Solution

The fourth proportional to 614,309.76, 921,479.22 and 165,031.20 is: 247,550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,309.76 : 921,479.22 = 165,031.20 : x
  2. Step 2: Convert to fraction form
    614,309.76/921,479.22 = 165,031.20/x
  3. Step 3: Cross multiply
    614,309.76x = 921,479.22 × 165,031.20
  4. Step 4: Simplify right side
    614,309.76x = 152,072,821,451.66
  5. Step 5: Solve for x
    x = 152,072,821,451.66/614,309.76
  6. Step 6: Final answer
    x = 247,550.72

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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.