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Finding the Fourth Proportional to 401,287.20, 602,017.20 and 120,832.80

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Solution

The fourth proportional to 401,287.20, 602,017.20 and 120,832.80 is: 181,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,287.20 : 602,017.20 = 120,832.80 : x
  2. Step 2: Convert to fraction form
    401,287.20/602,017.20 = 120,832.80/x
  3. Step 3: Cross multiply
    401,287.20x = 602,017.20 × 120,832.80
  4. Step 4: Simplify right side
    401,287.20x = 72,743,423,924.16
  5. Step 5: Solve for x
    x = 72,743,423,924.16/401,287.20
  6. Step 6: Final answer
    x = 181,275.22

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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.