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Finding the Fourth Proportional to 542,978.68, 749,419.63 and 313,573.31

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Solution

The fourth proportional to 542,978.68, 749,419.63 and 313,573.31 is: 432,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,978.68 : 749,419.63 = 313,573.31 : x
  2. Step 2: Convert to fraction form
    542,978.68/749,419.63 = 313,573.31/x
  3. Step 3: Cross multiply
    542,978.68x = 749,419.63 × 313,573.31
  4. Step 4: Simplify right side
    542,978.68x = 234,997,996,721.87
  5. Step 5: Solve for x
    x = 234,997,996,721.87/542,978.68
  6. Step 6: Final answer
    x = 432,794.15

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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.