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Finding the Fourth Proportional to 515,708.24, 711,689.64 and 289,370.48

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Solution

The fourth proportional to 515,708.24, 711,689.64 and 289,370.48 is: 399,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,708.24 : 711,689.64 = 289,370.48 : x
  2. Step 2: Convert to fraction form
    515,708.24/711,689.64 = 289,370.48/x
  3. Step 3: Cross multiply
    515,708.24x = 711,689.64 × 289,370.48
  4. Step 4: Simplify right side
    515,708.24x = 205,941,972,737.83
  5. Step 5: Solve for x
    x = 205,941,972,737.83/515,708.24
  6. Step 6: Final answer
    x = 399,338.15

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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.