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Finding the Fourth Proportional to 490,324.86, 735,432.21 and 135,389.34

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Solution

The fourth proportional to 490,324.86, 735,432.21 and 135,389.34 is: 203,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,324.86 : 735,432.21 = 135,389.34 : x
  2. Step 2: Convert to fraction form
    490,324.86/735,432.21 = 135,389.34/x
  3. Step 3: Cross multiply
    490,324.86x = 735,432.21 × 135,389.34
  4. Step 4: Simplify right side
    490,324.86x = 99,569,681,526.64
  5. Step 5: Solve for x
    x = 99,569,681,526.64/490,324.86
  6. Step 6: Final answer
    x = 203,068.80

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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.