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Finding the Fourth Proportional to 518,086.10, 714,995.43 and 288,658.46

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Solution

The fourth proportional to 518,086.10, 714,995.43 and 288,658.46 is: 398,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,086.10 : 714,995.43 = 288,658.46 : x
  2. Step 2: Convert to fraction form
    518,086.10/714,995.43 = 288,658.46/x
  3. Step 3: Cross multiply
    518,086.10x = 714,995.43 × 288,658.46
  4. Step 4: Simplify right side
    518,086.10x = 206,389,479,730.84
  5. Step 5: Solve for x
    x = 206,389,479,730.84/518,086.10
  6. Step 6: Final answer
    x = 398,369.07

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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.