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Finding the Fourth Proportional to 392,705.52, 589,077.72 and 112,264.08

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Solution

The fourth proportional to 392,705.52, 589,077.72 and 112,264.08 is: 168,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,705.52 : 589,077.72 = 112,264.08 : x
  2. Step 2: Convert to fraction form
    392,705.52/589,077.72 = 112,264.08/x
  3. Step 3: Cross multiply
    392,705.52x = 589,077.72 × 112,264.08
  4. Step 4: Simplify right side
    392,705.52x = 66,132,268,284.30
  5. Step 5: Solve for x
    x = 66,132,268,284.30/392,705.52
  6. Step 6: Final answer
    x = 168,401.68

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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.