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Finding the Fourth Proportional to 518,052.89, 714,902.13 and 288,609.86

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Solution

The fourth proportional to 518,052.89, 714,902.13 and 288,609.86 is: 398,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,052.89 : 714,902.13 = 288,609.86 : x
  2. Step 2: Convert to fraction form
    518,052.89/714,902.13 = 288,609.86/x
  3. Step 3: Cross multiply
    518,052.89x = 714,902.13 × 288,609.86
  4. Step 4: Simplify right side
    518,052.89x = 206,327,800,078.49
  5. Step 5: Solve for x
    x = 206,327,800,078.49/518,052.89
  6. Step 6: Final answer
    x = 398,275.55

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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.