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Finding the Fourth Proportional to 490,482.80, 735,641.18 and 135,497.86

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Solution

The fourth proportional to 490,482.80, 735,641.18 and 135,497.86 is: 203,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,482.80 : 735,641.18 = 135,497.86 : x
  2. Step 2: Convert to fraction form
    490,482.80/735,641.18 = 135,497.86/x
  3. Step 3: Cross multiply
    490,482.80x = 735,641.18 × 135,497.86
  4. Step 4: Simplify right side
    490,482.80x = 99,677,805,617.87
  5. Step 5: Solve for x
    x = 99,677,805,617.87/490,482.80
  6. Step 6: Final answer
    x = 203,223.86

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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.