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Finding the Fourth Proportional to 490,862.60, 735,257.10 and 407,918.60

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Solution

The fourth proportional to 490,862.60, 735,257.10 and 407,918.60 is: 611,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,862.60 : 735,257.10 = 407,918.60 : x
  2. Step 2: Convert to fraction form
    490,862.60/735,257.10 = 407,918.60/x
  3. Step 3: Cross multiply
    490,862.60x = 735,257.10 × 407,918.60
  4. Step 4: Simplify right side
    490,862.60x = 299,925,046,872.06
  5. Step 5: Solve for x
    x = 299,925,046,872.06/490,862.60
  6. Step 6: Final answer
    x = 611,016.29

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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.