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Finding the Fourth Proportional to 513,832.75, 709,083.92 and 284,390.48

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Solution

The fourth proportional to 513,832.75, 709,083.92 and 284,390.48 is: 392,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,832.75 : 709,083.92 = 284,390.48 : x
  2. Step 2: Convert to fraction form
    513,832.75/709,083.92 = 284,390.48/x
  3. Step 3: Cross multiply
    513,832.75x = 709,083.92 × 284,390.48
  4. Step 4: Simplify right side
    513,832.75x = 201,656,714,864.17
  5. Step 5: Solve for x
    x = 201,656,714,864.17/513,832.75
  6. Step 6: Final answer
    x = 392,455.94

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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.