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Finding the Fourth Proportional to 490,638.55, 735,981.59 and 135,644.71

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Solution

The fourth proportional to 490,638.55, 735,981.59 and 135,644.71 is: 203,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,638.55 : 735,981.59 = 135,644.71 : x
  2. Step 2: Convert to fraction form
    490,638.55/735,981.59 = 135,644.71/x
  3. Step 3: Cross multiply
    490,638.55x = 735,981.59 × 135,644.71
  4. Step 4: Simplify right side
    490,638.55x = 99,832,009,340.89
  5. Step 5: Solve for x
    x = 99,832,009,340.89/490,638.55
  6. Step 6: Final answer
    x = 203,473.64

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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.