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Finding the Fourth Proportional to 408,045.83, 612,068.74 and 275,335.43

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Solution

The fourth proportional to 408,045.83, 612,068.74 and 275,335.43 is: 413,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045.83 : 612,068.74 = 275,335.43 : x
  2. Step 2: Convert to fraction form
    408,045.83/612,068.74 = 275,335.43/x
  3. Step 3: Cross multiply
    408,045.83x = 612,068.74 × 275,335.43
  4. Step 4: Simplify right side
    408,045.83x = 168,524,205,968.78
  5. Step 5: Solve for x
    x = 168,524,205,968.78/408,045.83
  6. Step 6: Final answer
    x = 413,003.14

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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.