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Finding the Fourth Proportional to 458,340.54, 686,514.33 and 280,309.02

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Solution

The fourth proportional to 458,340.54, 686,514.33 and 280,309.02 is: 419,854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,340.54 : 686,514.33 = 280,309.02 : x
  2. Step 2: Convert to fraction form
    458,340.54/686,514.33 = 280,309.02/x
  3. Step 3: Cross multiply
    458,340.54x = 686,514.33 × 280,309.02
  4. Step 4: Simplify right side
    458,340.54x = 192,436,159,058.26
  5. Step 5: Solve for x
    x = 192,436,159,058.26/458,340.54
  6. Step 6: Final answer
    x = 419,854.11

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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.