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Finding the Fourth Proportional to 518,478.15, 715,502.82 and 289,050

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Solution

The fourth proportional to 518,478.15, 715,502.82 and 289,050 is: 398,890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,478.15 : 715,502.82 = 289,050 : x
  2. Step 2: Convert to fraction form
    518,478.15/715,502.82 = 289,050/x
  3. Step 3: Cross multiply
    518,478.15x = 715,502.82 × 289,050
  4. Step 4: Simplify right side
    518,478.15x = 206,816,090,121
  5. Step 5: Solve for x
    x = 206,816,090,121/518,478.15
  6. Step 6: Final answer
    x = 398,890.66

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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.