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Finding the Fourth Proportional to 431,591,653.80, 647,387,480.70 and 158,926,991.40

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Solution

The fourth proportional to 431,591,653.80, 647,387,480.70 and 158,926,991.40 is: 238,390,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,591,653.80 : 647,387,480.70 = 158,926,991.40 : x
  2. Step 2: Convert to fraction form
    431,591,653.80/647,387,480.70 = 158,926,991.40/x
  3. Step 3: Cross multiply
    431,591,653.80x = 647,387,480.70 × 158,926,991.40
  4. Step 4: Simplify right side
    431,591,653.80x = 102,887,344,577,676,576
  5. Step 5: Solve for x
    x = 102,887,344,577,676,576/431,591,653.80
  6. Step 6: Final answer
    x = 238,390,487.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.