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Finding the Fourth Proportional to 649,937.40, 974,906.10 and 460,980.60

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Solution

The fourth proportional to 649,937.40, 974,906.10 and 460,980.60 is: 691,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,937.40 : 974,906.10 = 460,980.60 : x
  2. Step 2: Convert to fraction form
    649,937.40/974,906.10 = 460,980.60/x
  3. Step 3: Cross multiply
    649,937.40x = 974,906.10 × 460,980.60
  4. Step 4: Simplify right side
    649,937.40x = 449,412,798,921.66
  5. Step 5: Solve for x
    x = 449,412,798,921.66/649,937.40
  6. Step 6: Final answer
    x = 691,470.90

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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.