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Finding the Fourth Proportional to 605,537.40, 908,306.10 and 416,580.60

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Solution

The fourth proportional to 605,537.40, 908,306.10 and 416,580.60 is: 624,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,537.40 : 908,306.10 = 416,580.60 : x
  2. Step 2: Convert to fraction form
    605,537.40/908,306.10 = 416,580.60/x
  3. Step 3: Cross multiply
    605,537.40x = 908,306.10 × 416,580.60
  4. Step 4: Simplify right side
    605,537.40x = 378,382,700,121.66
  5. Step 5: Solve for x
    x = 378,382,700,121.66/605,537.40
  6. Step 6: Final answer
    x = 624,870.90

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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.