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Finding the Fourth Proportional to 265,921.44, 398,765.04 and 99,592.80

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Solution

The fourth proportional to 265,921.44, 398,765.04 and 99,592.80 is: 149,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,921.44 : 398,765.04 = 99,592.80 : x
  2. Step 2: Convert to fraction form
    265,921.44/398,765.04 = 99,592.80/x
  3. Step 3: Cross multiply
    265,921.44x = 398,765.04 × 99,592.80
  4. Step 4: Simplify right side
    265,921.44x = 39,714,126,875.71
  5. Step 5: Solve for x
    x = 39,714,126,875.71/265,921.44
  6. Step 6: Final answer
    x = 149,345.34

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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.