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Finding the Fourth Proportional to 978,462.06, 1,350,275.28 and 542,945.58

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Solution

The fourth proportional to 978,462.06, 1,350,275.28 and 542,945.58 is: 749,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,462.06 : 1,350,275.28 = 542,945.58 : x
  2. Step 2: Convert to fraction form
    978,462.06/1,350,275.28 = 542,945.58/x
  3. Step 3: Cross multiply
    978,462.06x = 1,350,275.28 × 542,945.58
  4. Step 4: Simplify right side
    978,462.06x = 733,125,995,059.26
  5. Step 5: Solve for x
    x = 733,125,995,059.26/978,462.06
  6. Step 6: Final answer
    x = 749,263.59

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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.