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Finding the Fourth Proportional to 516,441.05, 712,705.95 and 287,008

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Solution

The fourth proportional to 516,441.05, 712,705.95 and 287,008 is: 396,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,441.05 : 712,705.95 = 287,008 : x
  2. Step 2: Convert to fraction form
    516,441.05/712,705.95 = 287,008/x
  3. Step 3: Cross multiply
    516,441.05x = 712,705.95 × 287,008
  4. Step 4: Simplify right side
    516,441.05x = 204,552,307,862.56
  5. Step 5: Solve for x
    x = 204,552,307,862.56/516,441.05
  6. Step 6: Final answer
    x = 396,080.66

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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.