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Finding the Fourth Proportional to 291,889.20, 402,831.52 and 164,591.12

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Solution

The fourth proportional to 291,889.20, 402,831.52 and 164,591.12 is: 227,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,889.20 : 402,831.52 = 164,591.12 : x
  2. Step 2: Convert to fraction form
    291,889.20/402,831.52 = 164,591.12/x
  3. Step 3: Cross multiply
    291,889.20x = 402,831.52 × 164,591.12
  4. Step 4: Simplify right side
    291,889.20x = 66,302,491,048.10
  5. Step 5: Solve for x
    x = 66,302,491,048.10/291,889.20
  6. Step 6: Final answer
    x = 227,149.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.