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Finding the Fourth Proportional to 402,135.66, 554,947.89 and 220,859.28

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Solution

The fourth proportional to 402,135.66, 554,947.89 and 220,859.28 is: 304,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,135.66 : 554,947.89 = 220,859.28 : x
  2. Step 2: Convert to fraction form
    402,135.66/554,947.89 = 220,859.28/x
  3. Step 3: Cross multiply
    402,135.66x = 554,947.89 × 220,859.28
  4. Step 4: Simplify right side
    402,135.66x = 122,565,391,422.92
  5. Step 5: Solve for x
    x = 122,565,391,422.92/402,135.66
  6. Step 6: Final answer
    x = 304,786.18

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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.