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Finding the Fourth Proportional to 542,809.52, 749,062.67 and 313,359.05

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Solution

The fourth proportional to 542,809.52, 749,062.67 and 313,359.05 is: 432,427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,809.52 : 749,062.67 = 313,359.05 : x
  2. Step 2: Convert to fraction form
    542,809.52/749,062.67 = 313,359.05/x
  3. Step 3: Cross multiply
    542,809.52x = 749,062.67 × 313,359.05
  4. Step 4: Simplify right side
    542,809.52x = 234,725,561,349.56
  5. Step 5: Solve for x
    x = 234,725,561,349.56/542,809.52
  6. Step 6: Final answer
    x = 432,427.13

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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.