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Finding the Fourth Proportional to 542,978.93, 749,419.95 and 313,573.56

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Solution

The fourth proportional to 542,978.93, 749,419.95 and 313,573.56 is: 432,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,978.93 : 749,419.95 = 313,573.56 : x
  2. Step 2: Convert to fraction form
    542,978.93/749,419.95 = 313,573.56/x
  3. Step 3: Cross multiply
    542,978.93x = 749,419.95 × 313,573.56
  4. Step 4: Simplify right side
    542,978.93x = 234,998,281,656.52
  5. Step 5: Solve for x
    x = 234,998,281,656.52/542,978.93
  6. Step 6: Final answer
    x = 432,794.48

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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.