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Finding the Fourth Proportional to 409,476.60, 614,603.70 and 252,012.60

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Solution

The fourth proportional to 409,476.60, 614,603.70 and 252,012.60 is: 378,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,476.60 : 614,603.70 = 252,012.60 : x
  2. Step 2: Convert to fraction form
    409,476.60/614,603.70 = 252,012.60/x
  3. Step 3: Cross multiply
    409,476.60x = 614,603.70 × 252,012.60
  4. Step 4: Simplify right side
    409,476.60x = 154,887,876,406.62
  5. Step 5: Solve for x
    x = 154,887,876,406.62/409,476.60
  6. Step 6: Final answer
    x = 378,258.19

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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.