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Finding the Fourth Proportional to 518,060.88, 714,908.23 and 288,618.05

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Solution

The fourth proportional to 518,060.88, 714,908.23 and 288,618.05 is: 398,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,060.88 : 714,908.23 = 288,618.05 : x
  2. Step 2: Convert to fraction form
    518,060.88/714,908.23 = 288,618.05/x
  3. Step 3: Cross multiply
    518,060.88x = 714,908.23 × 288,618.05
  4. Step 4: Simplify right side
    518,060.88x = 206,335,420,337.28
  5. Step 5: Solve for x
    x = 206,335,420,337.28/518,060.88
  6. Step 6: Final answer
    x = 398,284.12

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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.