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Finding the Fourth Proportional to 516,406.50, 712,707.80 and 290,052

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Solution

The fourth proportional to 516,406.50, 712,707.80 and 290,052 is: 400,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,406.50 : 712,707.80 = 290,052 : x
  2. Step 2: Convert to fraction form
    516,406.50/712,707.80 = 290,052/x
  3. Step 3: Cross multiply
    516,406.50x = 712,707.80 × 290,052
  4. Step 4: Simplify right side
    516,406.50x = 206,722,321,355.34
  5. Step 5: Solve for x
    x = 206,722,321,355.34/516,406.50
  6. Step 6: Final answer
    x = 400,309.29

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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.