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Finding the Fourth Proportional to 490,641.40, 735,962.10 and 322,679.80

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Solution

The fourth proportional to 490,641.40, 735,962.10 and 322,679.80 is: 484,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,641.40 : 735,962.10 = 322,679.80 : x
  2. Step 2: Convert to fraction form
    490,641.40/735,962.10 = 322,679.80/x
  3. Step 3: Cross multiply
    490,641.40x = 735,962.10 × 322,679.80
  4. Step 4: Simplify right side
    490,641.40x = 237,480,103,235.58
  5. Step 5: Solve for x
    x = 237,480,103,235.58/490,641.40
  6. Step 6: Final answer
    x = 484,019.70

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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.