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Finding the Fourth Proportional to 518,722.45, 715,822.72 and 289,286.71

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Solution

The fourth proportional to 518,722.45, 715,822.72 and 289,286.71 is: 399,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,722.45 : 715,822.72 = 289,286.71 : x
  2. Step 2: Convert to fraction form
    518,722.45/715,822.72 = 289,286.71/x
  3. Step 3: Cross multiply
    518,722.45x = 715,822.72 × 289,286.71
  4. Step 4: Simplify right side
    518,722.45x = 207,077,999,612.05
  5. Step 5: Solve for x
    x = 207,077,999,612.05/518,722.45
  6. Step 6: Final answer
    x = 399,207.71

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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.