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Finding the Fourth Proportional to 431,016,638.40, 646,608,938.40 and 172,187,812.80

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Solution

The fourth proportional to 431,016,638.40, 646,608,938.40 and 172,187,812.80 is: 258,315,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,016,638.40 : 646,608,938.40 = 172,187,812.80 : x
  2. Step 2: Convert to fraction form
    431,016,638.40/646,608,938.40 = 172,187,812.80/x
  3. Step 3: Cross multiply
    431,016,638.40x = 646,608,938.40 × 172,187,812.80
  4. Step 4: Simplify right side
    431,016,638.40x = 111,338,178,840,025,936
  5. Step 5: Solve for x
    x = 111,338,178,840,025,936/431,016,638.40
  6. Step 6: Final answer
    x = 258,315,268.88

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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.