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Finding the Fourth Proportional to 410,215.80, 614,978.10 and 213,223.80

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Solution

The fourth proportional to 410,215.80, 614,978.10 and 213,223.80 is: 319,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,215.80 : 614,978.10 = 213,223.80 : x
  2. Step 2: Convert to fraction form
    410,215.80/614,978.10 = 213,223.80/x
  3. Step 3: Cross multiply
    410,215.80x = 614,978.10 × 213,223.80
  4. Step 4: Simplify right side
    410,215.80x = 131,127,967,398.78
  5. Step 5: Solve for x
    x = 131,127,967,398.78/410,215.80
  6. Step 6: Final answer
    x = 319,656.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.