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Finding the Fourth Proportional to 389,011.26, 582,516.54 and 312,751.38

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Solution

The fourth proportional to 389,011.26, 582,516.54 and 312,751.38 is: 468,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,011.26 : 582,516.54 = 312,751.38 : x
  2. Step 2: Convert to fraction form
    389,011.26/582,516.54 = 312,751.38/x
  3. Step 3: Cross multiply
    389,011.26x = 582,516.54 × 312,751.38
  4. Step 4: Simplify right side
    389,011.26x = 182,182,851,757.83
  5. Step 5: Solve for x
    x = 182,182,851,757.83/389,011.26
  6. Step 6: Final answer
    x = 468,322.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.