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Finding the Fourth Proportional to 402,178.95, 555,013.62 and 220,907.61

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Solution

The fourth proportional to 402,178.95, 555,013.62 and 220,907.61 is: 304,856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,178.95 : 555,013.62 = 220,907.61 : x
  2. Step 2: Convert to fraction form
    402,178.95/555,013.62 = 220,907.61/x
  3. Step 3: Cross multiply
    402,178.95x = 555,013.62 × 220,907.61
  4. Step 4: Simplify right side
    402,178.95x = 122,606,732,311.65
  5. Step 5: Solve for x
    x = 122,606,732,311.65/402,178.95
  6. Step 6: Final answer
    x = 304,856.16

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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.