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Finding the Fourth Proportional to 542,940.91, 749,293.88 and 313,507.87

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Solution

The fourth proportional to 542,940.91, 749,293.88 and 313,507.87 is: 432,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,940.91 : 749,293.88 = 313,507.87 : x
  2. Step 2: Convert to fraction form
    542,940.91/749,293.88 = 313,507.87/x
  3. Step 3: Cross multiply
    542,940.91x = 749,293.88 × 313,507.87
  4. Step 4: Simplify right side
    542,940.91x = 234,909,523,008.83
  5. Step 5: Solve for x
    x = 234,909,523,008.83/542,940.91
  6. Step 6: Final answer
    x = 432,661.31

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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.