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Finding the Fourth Proportional to 614,229.54, 847,625.25 and 342,291.45

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Solution

The fourth proportional to 614,229.54, 847,625.25 and 342,291.45 is: 472,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,229.54 : 847,625.25 = 342,291.45 : x
  2. Step 2: Convert to fraction form
    614,229.54/847,625.25 = 342,291.45/x
  3. Step 3: Cross multiply
    614,229.54x = 847,625.25 × 342,291.45
  4. Step 4: Simplify right side
    614,229.54x = 290,134,875,879.11
  5. Step 5: Solve for x
    x = 290,134,875,879.11/614,229.54
  6. Step 6: Final answer
    x = 472,355.78

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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.