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Finding the Fourth Proportional to 614,287.20, 847,703.34 and 342,379.92

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Solution

The fourth proportional to 614,287.20, 847,703.34 and 342,379.92 is: 472,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,287.20 : 847,703.34 = 342,379.92 : x
  2. Step 2: Convert to fraction form
    614,287.20/847,703.34 = 342,379.92/x
  3. Step 3: Cross multiply
    614,287.20x = 847,703.34 × 342,379.92
  4. Step 4: Simplify right side
    614,287.20x = 290,236,601,732.93
  5. Step 5: Solve for x
    x = 290,236,601,732.93/614,287.20
  6. Step 6: Final answer
    x = 472,477.05

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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.