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Finding the Fourth Proportional to 648,640.60, 972,500.10 and 293,824.60

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Solution

The fourth proportional to 648,640.60, 972,500.10 and 293,824.60 is: 440,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,640.60 : 972,500.10 = 293,824.60 : x
  2. Step 2: Convert to fraction form
    648,640.60/972,500.10 = 293,824.60/x
  3. Step 3: Cross multiply
    648,640.60x = 972,500.10 × 293,824.60
  4. Step 4: Simplify right side
    648,640.60x = 285,744,452,882.46
  5. Step 5: Solve for x
    x = 285,744,452,882.46/648,640.60
  6. Step 6: Final answer
    x = 440,528.16

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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.