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Finding the Fourth Proportional to 490,180.60, 735,270.90 and 410,001.40

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Solution

The fourth proportional to 490,180.60, 735,270.90 and 410,001.40 is: 615,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,180.60 : 735,270.90 = 410,001.40 : x
  2. Step 2: Convert to fraction form
    490,180.60/735,270.90 = 410,001.40/x
  3. Step 3: Cross multiply
    490,180.60x = 735,270.90 × 410,001.40
  4. Step 4: Simplify right side
    490,180.60x = 301,462,098,379.26
  5. Step 5: Solve for x
    x = 301,462,098,379.26/490,180.60
  6. Step 6: Final answer
    x = 615,002.10

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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.