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Finding the Fourth Proportional to 402,815.91, 555,874.77 and 221,527.80

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Solution

The fourth proportional to 402,815.91, 555,874.77 and 221,527.80 is: 305,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,815.91 : 555,874.77 = 221,527.80 : x
  2. Step 2: Convert to fraction form
    402,815.91/555,874.77 = 221,527.80/x
  3. Step 3: Cross multiply
    402,815.91x = 555,874.77 × 221,527.80
  4. Step 4: Simplify right side
    402,815.91x = 123,141,714,873.61
  5. Step 5: Solve for x
    x = 123,141,714,873.61/402,815.91
  6. Step 6: Final answer
    x = 305,702.21

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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.