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Finding the Fourth Proportional to 392,897.36, 542,200.52 and 229,563.45

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Solution

The fourth proportional to 392,897.36, 542,200.52 and 229,563.45 is: 316,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,897.36 : 542,200.52 = 229,563.45 : x
  2. Step 2: Convert to fraction form
    392,897.36/542,200.52 = 229,563.45/x
  3. Step 3: Cross multiply
    392,897.36x = 542,200.52 × 229,563.45
  4. Step 4: Simplify right side
    392,897.36x = 124,469,421,962.99
  5. Step 5: Solve for x
    x = 124,469,421,962.99/392,897.36
  6. Step 6: Final answer
    x = 316,798.82

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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.