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Finding the Fourth Proportional to 403,220.80, 556,408.56 and 233,466.40

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Solution

The fourth proportional to 403,220.80, 556,408.56 and 233,466.40 is: 322,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,220.80 : 556,408.56 = 233,466.40 : x
  2. Step 2: Convert to fraction form
    403,220.80/556,408.56 = 233,466.40/x
  3. Step 3: Cross multiply
    403,220.80x = 556,408.56 × 233,466.40
  4. Step 4: Simplify right side
    403,220.80x = 129,902,703,432.38
  5. Step 5: Solve for x
    x = 129,902,703,432.38/403,220.80
  6. Step 6: Final answer
    x = 322,162.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.