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Finding the Fourth Proportional to 514,760.80, 710,370 and 288,408.16

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Solution

The fourth proportional to 514,760.80, 710,370 and 288,408.16 is: 398,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,760.80 : 710,370 = 288,408.16 : x
  2. Step 2: Convert to fraction form
    514,760.80/710,370 = 288,408.16/x
  3. Step 3: Cross multiply
    514,760.80x = 710,370 × 288,408.16
  4. Step 4: Simplify right side
    514,760.80x = 204,876,504,619.20
  5. Step 5: Solve for x
    x = 204,876,504,619.20/514,760.80
  6. Step 6: Final answer
    x = 398,003.31

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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.