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Finding the Fourth Proportional to 472,915.20, 709,372.80 and 444,921.60

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Solution

The fourth proportional to 472,915.20, 709,372.80 and 444,921.60 is: 667,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,915.20 : 709,372.80 = 444,921.60 : x
  2. Step 2: Convert to fraction form
    472,915.20/709,372.80 = 444,921.60/x
  3. Step 3: Cross multiply
    472,915.20x = 709,372.80 × 444,921.60
  4. Step 4: Simplify right side
    472,915.20x = 315,615,281,172.48
  5. Step 5: Solve for x
    x = 315,615,281,172.48/472,915.20
  6. Step 6: Final answer
    x = 667,382.40

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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.