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Finding the Fourth Proportional to 438,233.80, 655,968.30 and 313,817.80

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Solution

The fourth proportional to 438,233.80, 655,968.30 and 313,817.80 is: 469,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,233.80 : 655,968.30 = 313,817.80 : x
  2. Step 2: Convert to fraction form
    438,233.80/655,968.30 = 313,817.80/x
  3. Step 3: Cross multiply
    438,233.80x = 655,968.30 × 313,817.80
  4. Step 4: Simplify right side
    438,233.80x = 205,854,528,775.74
  5. Step 5: Solve for x
    x = 205,854,528,775.74/438,233.80
  6. Step 6: Final answer
    x = 469,736.77

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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.