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Finding the Fourth Proportional to 518,023.37, 714,893.90 and 288,580.61

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Solution

The fourth proportional to 518,023.37, 714,893.90 and 288,580.61 is: 398,253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,023.37 : 714,893.90 = 288,580.61 : x
  2. Step 2: Convert to fraction form
    518,023.37/714,893.90 = 288,580.61/x
  3. Step 3: Cross multiply
    518,023.37x = 714,893.90 × 288,580.61
  4. Step 4: Simplify right side
    518,023.37x = 206,304,512,729.91
  5. Step 5: Solve for x
    x = 206,304,512,729.91/518,023.37
  6. Step 6: Final answer
    x = 398,253.30

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1.5x scale

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.