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Finding the Fourth Proportional to 265,887.20, 398,714.04 and 99,558.56

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Solution

The fourth proportional to 265,887.20, 398,714.04 and 99,558.56 is: 149,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,887.20 : 398,714.04 = 99,558.56 : x
  2. Step 2: Convert to fraction form
    265,887.20/398,714.04 = 99,558.56/x
  3. Step 3: Cross multiply
    265,887.20x = 398,714.04 × 99,558.56
  4. Step 4: Simplify right side
    265,887.20x = 39,695,395,674.18
  5. Step 5: Solve for x
    x = 39,695,395,674.18/265,887.20
  6. Step 6: Final answer
    x = 149,294.12

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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.