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Finding the Fourth Proportional to 490,294.49, 735,484.05 and 135,308.48

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Solution

The fourth proportional to 490,294.49, 735,484.05 and 135,308.48 is: 202,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,294.49 : 735,484.05 = 135,308.48 : x
  2. Step 2: Convert to fraction form
    490,294.49/735,484.05 = 135,308.48/x
  3. Step 3: Cross multiply
    490,294.49x = 735,484.05 × 135,308.48
  4. Step 4: Simplify right side
    490,294.49x = 99,517,225,192.32
  5. Step 5: Solve for x
    x = 99,517,225,192.32/490,294.49
  6. Step 6: Final answer
    x = 202,974.39

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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.