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Finding the Fourth Proportional to 648,469.20, 972,473.40 and 293,653.20

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Solution

The fourth proportional to 648,469.20, 972,473.40 and 293,653.20 is: 440,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,469.20 : 972,473.40 = 293,653.20 : x
  2. Step 2: Convert to fraction form
    648,469.20/972,473.40 = 293,653.20/x
  3. Step 3: Cross multiply
    648,469.20x = 972,473.40 × 293,653.20
  4. Step 4: Simplify right side
    648,469.20x = 285,569,925,824.88
  5. Step 5: Solve for x
    x = 285,569,925,824.88/648,469.20
  6. Step 6: Final answer
    x = 440,375.47

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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.