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Finding the Fourth Proportional to 978,530,456.88, 1,350,372,219.84 and 538,497,308.88

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Solution

The fourth proportional to 978,530,456.88, 1,350,372,219.84 and 538,497,308.88 is: 743,126,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,530,456.88 : 1,350,372,219.84 = 538,497,308.88 : x
  2. Step 2: Convert to fraction form
    978,530,456.88/1,350,372,219.84 = 538,497,308.88/x
  3. Step 3: Cross multiply
    978,530,456.88x = 1,350,372,219.84 × 538,497,308.88
  4. Step 4: Simplify right side
    978,530,456.88x = 727,171,806,370,151,680
  5. Step 5: Solve for x
    x = 727,171,806,370,151,680/978,530,456.88
  6. Step 6: Final answer
    x = 743,126,390.45

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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.