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Finding the Fourth Proportional to 392,835.32, 542,095.23 and 229,506.97

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Solution

The fourth proportional to 392,835.32, 542,095.23 and 229,506.97 is: 316,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,835.32 : 542,095.23 = 229,506.97 : x
  2. Step 2: Convert to fraction form
    392,835.32/542,095.23 = 229,506.97/x
  3. Step 3: Cross multiply
    392,835.32x = 542,095.23 × 229,506.97
  4. Step 4: Simplify right side
    392,835.32x = 124,414,630,978.28
  5. Step 5: Solve for x
    x = 124,414,630,978.28/392,835.32
  6. Step 6: Final answer
    x = 316,709.38

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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.