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Finding the Fourth Proportional to 703,418,169.76, 970,833,313.68 and 390,253,278.24

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Solution

The fourth proportional to 703,418,169.76, 970,833,313.68 and 390,253,278.24 is: 538,614,013.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,418,169.76 : 970,833,313.68 = 390,253,278.24 : x
  2. Step 2: Convert to fraction form
    703,418,169.76/970,833,313.68 = 390,253,278.24/x
  3. Step 3: Cross multiply
    703,418,169.76x = 970,833,313.68 × 390,253,278.24
  4. Step 4: Simplify right side
    703,418,169.76x = 378,870,883,288,222,208
  5. Step 5: Solve for x
    x = 378,870,883,288,222,208/703,418,169.76
  6. Step 6: Final answer
    x = 538,614,013.08

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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.