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Finding the Fourth Proportional to 419,466, 578,863.08 and 240,675.60

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Solution

The fourth proportional to 419,466, 578,863.08 and 240,675.60 is: 332,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,466 : 578,863.08 = 240,675.60 : x
  2. Step 2: Convert to fraction form
    419,466/578,863.08 = 240,675.60/x
  3. Step 3: Cross multiply
    419,466x = 578,863.08 × 240,675.60
  4. Step 4: Simplify right side
    419,466x = 139,318,219,096.85
  5. Step 5: Solve for x
    x = 139,318,219,096.85/419,466
  6. Step 6: Final answer
    x = 332,132.33

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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.