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Finding the Fourth Proportional to 513,669, 708,864.36 and 284,242.92

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Solution

The fourth proportional to 513,669, 708,864.36 and 284,242.92 is: 392,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,669 : 708,864.36 = 284,242.92 : x
  2. Step 2: Convert to fraction form
    513,669/708,864.36 = 284,242.92/x
  3. Step 3: Cross multiply
    513,669x = 708,864.36 × 284,242.92
  4. Step 4: Simplify right side
    513,669x = 201,489,675,570.33
  5. Step 5: Solve for x
    x = 201,489,675,570.33/513,669
  6. Step 6: Final answer
    x = 392,255.86

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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.