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Finding the Fourth Proportional to 265,438.92, 398,322 and 107,668.74

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Solution

The fourth proportional to 265,438.92, 398,322 and 107,668.74 is: 161,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,438.92 : 398,322 = 107,668.74 : x
  2. Step 2: Convert to fraction form
    265,438.92/398,322 = 107,668.74/x
  3. Step 3: Cross multiply
    265,438.92x = 398,322 × 107,668.74
  4. Step 4: Simplify right side
    265,438.92x = 42,886,827,854.28
  5. Step 5: Solve for x
    x = 42,886,827,854.28/265,438.92
  6. Step 6: Final answer
    x = 161,569.48

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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.