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Finding the Fourth Proportional to 374,634.52, 516,999.72 and 204,865

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Solution

The fourth proportional to 374,634.52, 516,999.72 and 204,865 is: 282,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,634.52 : 516,999.72 = 204,865 : x
  2. Step 2: Convert to fraction form
    374,634.52/516,999.72 = 204,865/x
  3. Step 3: Cross multiply
    374,634.52x = 516,999.72 × 204,865
  4. Step 4: Simplify right side
    374,634.52x = 105,915,147,637.80
  5. Step 5: Solve for x
    x = 105,915,147,637.80/374,634.52
  6. Step 6: Final answer
    x = 282,715.93

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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.