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Finding the Fourth Proportional to 338,470.74, 507,702.15 and 82,304.82

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Solution

The fourth proportional to 338,470.74, 507,702.15 and 82,304.82 is: 123,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,470.74 : 507,702.15 = 82,304.82 : x
  2. Step 2: Convert to fraction form
    338,470.74/507,702.15 = 82,304.82/x
  3. Step 3: Cross multiply
    338,470.74x = 507,702.15 × 82,304.82
  4. Step 4: Simplify right side
    338,470.74x = 41,786,334,069.36
  5. Step 5: Solve for x
    x = 41,786,334,069.36/338,470.74
  6. Step 6: Final answer
    x = 123,456.27

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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.