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Finding the Fourth Proportional to 516,705.50, 713,120.41 and 290,351.02

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Solution

The fourth proportional to 516,705.50, 713,120.41 and 290,351.02 is: 400,721.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,705.50 : 713,120.41 = 290,351.02 : x
  2. Step 2: Convert to fraction form
    516,705.50/713,120.41 = 290,351.02/x
  3. Step 3: Cross multiply
    516,705.50x = 713,120.41 × 290,351.02
  4. Step 4: Simplify right side
    516,705.50x = 207,055,238,426.32
  5. Step 5: Solve for x
    x = 207,055,238,426.32/516,705.50
  6. Step 6: Final answer
    x = 400,721.96

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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.