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Finding the Fourth Proportional to 490,878.28, 735,355.14 and 254,376.10

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Solution

The fourth proportional to 490,878.28, 735,355.14 and 254,376.10 is: 381,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,878.28 : 735,355.14 = 254,376.10 : x
  2. Step 2: Convert to fraction form
    490,878.28/735,355.14 = 254,376.10/x
  3. Step 3: Cross multiply
    490,878.28x = 735,355.14 × 254,376.10
  4. Step 4: Simplify right side
    490,878.28x = 187,056,772,628.15
  5. Step 5: Solve for x
    x = 187,056,772,628.15/490,878.28
  6. Step 6: Final answer
    x = 381,065.49

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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.