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Finding the Fourth Proportional to 605,672.70, 908,509.05 and 416,715.90

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Solution

The fourth proportional to 605,672.70, 908,509.05 and 416,715.90 is: 625,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,672.70 : 908,509.05 = 416,715.90 : x
  2. Step 2: Convert to fraction form
    605,672.70/908,509.05 = 416,715.90/x
  3. Step 3: Cross multiply
    605,672.70x = 908,509.05 × 416,715.90
  4. Step 4: Simplify right side
    605,672.70x = 378,590,166,428.90
  5. Step 5: Solve for x
    x = 378,590,166,428.90/605,672.70
  6. Step 6: Final answer
    x = 625,073.85

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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.