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Finding the Fourth Proportional to 518,956.57, 716,160.35 and 289,513.85

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Solution

The fourth proportional to 518,956.57, 716,160.35 and 289,513.85 is: 399,529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,956.57 : 716,160.35 = 289,513.85 : x
  2. Step 2: Convert to fraction form
    518,956.57/716,160.35 = 289,513.85/x
  3. Step 3: Cross multiply
    518,956.57x = 716,160.35 × 289,513.85
  4. Step 4: Simplify right side
    518,956.57x = 207,338,337,288.83
  5. Step 5: Solve for x
    x = 207,338,337,288.83/518,956.57
  6. Step 6: Final answer
    x = 399,529.26

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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.