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Finding the Fourth Proportional to 431,478.20, 646,986.90 and 181,878.20

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Solution

The fourth proportional to 431,478.20, 646,986.90 and 181,878.20 is: 272,720.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,478.20 : 646,986.90 = 181,878.20 : x
  2. Step 2: Convert to fraction form
    431,478.20/646,986.90 = 181,878.20/x
  3. Step 3: Cross multiply
    431,478.20x = 646,986.90 × 181,878.20
  4. Step 4: Simplify right side
    431,478.20x = 117,672,812,795.58
  5. Step 5: Solve for x
    x = 117,672,812,795.58/431,478.20
  6. Step 6: Final answer
    x = 272,720.18

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1.5x scale

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.