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Finding the Fourth Proportional to 431,591,657.55, 647,387,486.33 and 158,926,995.15

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Solution

The fourth proportional to 431,591,657.55, 647,387,486.33 and 158,926,995.15 is: 238,390,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,591,657.55 : 647,387,486.33 = 158,926,995.15 : x
  2. Step 2: Convert to fraction form
    431,591,657.55/647,387,486.33 = 158,926,995.15/x
  3. Step 3: Cross multiply
    431,591,657.55x = 647,387,486.33 × 158,926,995.15
  4. Step 4: Simplify right side
    431,591,657.55x = 102,887,347,899,343,984
  5. Step 5: Solve for x
    x = 102,887,347,899,343,984/431,591,657.55
  6. Step 6: Final answer
    x = 238,390,492.73

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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.