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Finding the Fourth Proportional to 392,896.36, 542,199.14 and 229,562.45

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Solution

The fourth proportional to 392,896.36, 542,199.14 and 229,562.45 is: 316,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,896.36 : 542,199.14 = 229,562.45 : x
  2. Step 2: Convert to fraction form
    392,896.36/542,199.14 = 229,562.45/x
  3. Step 3: Cross multiply
    392,896.36x = 542,199.14 × 229,562.45
  4. Step 4: Simplify right side
    392,896.36x = 124,468,565,051.46
  5. Step 5: Solve for x
    x = 124,468,565,051.46/392,896.36
  6. Step 6: Final answer
    x = 316,797.45

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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.