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Finding the Fourth Proportional to 516,410.50, 712,713.32 and 290,056

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Solution

The fourth proportional to 516,410.50, 712,713.32 and 290,056 is: 400,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,410.50 : 712,713.32 = 290,056 : x
  2. Step 2: Convert to fraction form
    516,410.50/712,713.32 = 290,056/x
  3. Step 3: Cross multiply
    516,410.50x = 712,713.32 × 290,056
  4. Step 4: Simplify right side
    516,410.50x = 206,726,774,745.92
  5. Step 5: Solve for x
    x = 206,726,774,745.92/516,410.50
  6. Step 6: Final answer
    x = 400,314.82

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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.