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Finding the Fourth Proportional to 265,831.36, 398,630 and 97,307.92

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Solution

The fourth proportional to 265,831.36, 398,630 and 97,307.92 is: 145,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,831.36 : 398,630 = 97,307.92 : x
  2. Step 2: Convert to fraction form
    265,831.36/398,630 = 97,307.92/x
  3. Step 3: Cross multiply
    265,831.36x = 398,630 × 97,307.92
  4. Step 4: Simplify right side
    265,831.36x = 38,789,856,149.60
  5. Step 5: Solve for x
    x = 38,789,856,149.60/265,831.36
  6. Step 6: Final answer
    x = 145,919.04

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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.