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Finding the Fourth Proportional to 369,565.92, 510,000.80 and 199,800

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Solution

The fourth proportional to 369,565.92, 510,000.80 and 199,800 is: 275,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,565.92 : 510,000.80 = 199,800 : x
  2. Step 2: Convert to fraction form
    369,565.92/510,000.80 = 199,800/x
  3. Step 3: Cross multiply
    369,565.92x = 510,000.80 × 199,800
  4. Step 4: Simplify right side
    369,565.92x = 101,898,159,840
  5. Step 5: Solve for x
    x = 101,898,159,840/369,565.92
  6. Step 6: Final answer
    x = 275,723.91

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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.