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Finding the Fourth Proportional to 265,719.40, 398,812.38 and 147,524.20

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Solution

The fourth proportional to 265,719.40, 398,812.38 and 147,524.20 is: 221,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,719.40 : 398,812.38 = 147,524.20 : x
  2. Step 2: Convert to fraction form
    265,719.40/398,812.38 = 147,524.20/x
  3. Step 3: Cross multiply
    265,719.40x = 398,812.38 × 147,524.20
  4. Step 4: Simplify right side
    265,719.40x = 58,834,477,309.60
  5. Step 5: Solve for x
    x = 58,834,477,309.60/265,719.40
  6. Step 6: Final answer
    x = 221,415.81

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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.