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Finding the Fourth Proportional to 402,115.98, 554,925.84 and 220,844.22

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Solution

The fourth proportional to 402,115.98, 554,925.84 and 220,844.22 is: 304,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,115.98 : 554,925.84 = 220,844.22 : x
  2. Step 2: Convert to fraction form
    402,115.98/554,925.84 = 220,844.22/x
  3. Step 3: Cross multiply
    402,115.98x = 554,925.84 × 220,844.22
  4. Step 4: Simplify right side
    402,115.98x = 122,552,164,292.65
  5. Step 5: Solve for x
    x = 122,552,164,292.65/402,115.98
  6. Step 6: Final answer
    x = 304,768.20

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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.