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Finding the Fourth Proportional to 490,333.86, 735,445.71 and 135,398.34

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Solution

The fourth proportional to 490,333.86, 735,445.71 and 135,398.34 is: 203,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,333.86 : 735,445.71 = 135,398.34 : x
  2. Step 2: Convert to fraction form
    490,333.86/735,445.71 = 135,398.34/x
  3. Step 3: Cross multiply
    490,333.86x = 735,445.71 × 135,398.34
  4. Step 4: Simplify right side
    490,333.86x = 99,578,128,294.12
  5. Step 5: Solve for x
    x = 99,578,128,294.12/490,333.86
  6. Step 6: Final answer
    x = 203,082.30

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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.