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Finding the Fourth Proportional to 265,948.24, 398,642.32 and 88,407.60

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Solution

The fourth proportional to 265,948.24, 398,642.32 and 88,407.60 is: 132,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,948.24 : 398,642.32 = 88,407.60 : x
  2. Step 2: Convert to fraction form
    265,948.24/398,642.32 = 88,407.60/x
  3. Step 3: Cross multiply
    265,948.24x = 398,642.32 × 88,407.60
  4. Step 4: Simplify right side
    265,948.24x = 35,243,010,769.63
  5. Step 5: Solve for x
    x = 35,243,010,769.63/265,948.24
  6. Step 6: Final answer
    x = 132,518.31

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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.