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Finding the Fourth Proportional to 392,900.10, 542,204.33 and 229,566.21

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Solution

The fourth proportional to 392,900.10, 542,204.33 and 229,566.21 is: 316,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,900.10 : 542,204.33 = 229,566.21 : x
  2. Step 2: Convert to fraction form
    392,900.10/542,204.33 = 229,566.21/x
  3. Step 3: Cross multiply
    392,900.10x = 542,204.33 × 229,566.21
  4. Step 4: Simplify right side
    392,900.10x = 124,471,791,935.86
  5. Step 5: Solve for x
    x = 124,471,791,935.86/392,900.10
  6. Step 6: Final answer
    x = 316,802.65

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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.