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Finding the Fourth Proportional to 706,412,919.24, 974,849,832 and 393,221,120.22

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Solution

The fourth proportional to 706,412,919.24, 974,849,832 and 393,221,120.22 is: 542,645,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,412,919.24 : 974,849,832 = 393,221,120.22 : x
  2. Step 2: Convert to fraction form
    706,412,919.24/974,849,832 = 393,221,120.22/x
  3. Step 3: Cross multiply
    706,412,919.24x = 974,849,832 × 393,221,120.22
  4. Step 4: Simplify right side
    706,412,919.24x = 383,331,542,985,318,848
  5. Step 5: Solve for x
    x = 383,331,542,985,318,848/706,412,919.24
  6. Step 6: Final answer
    x = 542,645,147.82

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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.