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Finding the Fourth Proportional to 262,322.40, 392,475.60 and 261,650.40

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Solution

The fourth proportional to 262,322.40, 392,475.60 and 261,650.40 is: 391,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,322.40 : 392,475.60 = 261,650.40 : x
  2. Step 2: Convert to fraction form
    262,322.40/392,475.60 = 261,650.40/x
  3. Step 3: Cross multiply
    262,322.40x = 392,475.60 × 261,650.40
  4. Step 4: Simplify right side
    262,322.40x = 102,691,397,730.24
  5. Step 5: Solve for x
    x = 102,691,397,730.24/262,322.40
  6. Step 6: Final answer
    x = 391,470.18

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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.