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Finding the Fourth Proportional to 706,387,608.31, 974,805,377.82 and 393,121,739.25

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Solution

The fourth proportional to 706,387,608.31, 974,805,377.82 and 393,121,739.25 is: 542,502,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,387,608.31 : 974,805,377.82 = 393,121,739.25 : x
  2. Step 2: Convert to fraction form
    706,387,608.31/974,805,377.82 = 393,121,739.25/x
  3. Step 3: Cross multiply
    706,387,608.31x = 974,805,377.82 × 393,121,739.25
  4. Step 4: Simplify right side
    706,387,608.31x = 383,217,185,558,851,776
  5. Step 5: Solve for x
    x = 383,217,185,558,851,776/706,387,608.31
  6. Step 6: Final answer
    x = 542,502,701.14

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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.