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Finding the Fourth Proportional to 513,708.16, 708,992.47 and 295,874.97

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Solution

The fourth proportional to 513,708.16, 708,992.47 and 295,874.97 is: 408,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,708.16 : 708,992.47 = 295,874.97 : x
  2. Step 2: Convert to fraction form
    513,708.16/708,992.47 = 295,874.97/x
  3. Step 3: Cross multiply
    513,708.16x = 708,992.47 × 295,874.97
  4. Step 4: Simplify right side
    513,708.16x = 209,773,122,246.51
  5. Step 5: Solve for x
    x = 209,773,122,246.51/513,708.16
  6. Step 6: Final answer
    x = 408,350.77

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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.