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Finding the Fourth Proportional to 403,324.80, 604,987.20 and 193,372.80

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Solution

The fourth proportional to 403,324.80, 604,987.20 and 193,372.80 is: 290,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,324.80 : 604,987.20 = 193,372.80 : x
  2. Step 2: Convert to fraction form
    403,324.80/604,987.20 = 193,372.80/x
  3. Step 3: Cross multiply
    403,324.80x = 604,987.20 × 193,372.80
  4. Step 4: Simplify right side
    403,324.80x = 116,988,068,828.16
  5. Step 5: Solve for x
    x = 116,988,068,828.16/403,324.80
  6. Step 6: Final answer
    x = 290,059.20

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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.