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Finding the Fourth Proportional to 719,523,398.46, 992,949,135.42 and 422,170,699.74

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Solution

The fourth proportional to 719,523,398.46, 992,949,135.42 and 422,170,699.74 is: 582,599,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,523,398.46 : 992,949,135.42 = 422,170,699.74 : x
  2. Step 2: Convert to fraction form
    719,523,398.46/992,949,135.42 = 422,170,699.74/x
  3. Step 3: Cross multiply
    719,523,398.46x = 992,949,135.42 × 422,170,699.74
  4. Step 4: Simplify right side
    719,523,398.46x = 419,194,031,306,489,408
  5. Step 5: Solve for x
    x = 419,194,031,306,489,408/719,523,398.46
  6. Step 6: Final answer
    x = 582,599,582.17

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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.