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Finding the Fourth Proportional to 472,307.20, 709,843.20 and 411,481.60

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Solution

The fourth proportional to 472,307.20, 709,843.20 and 411,481.60 is: 618,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,307.20 : 709,843.20 = 411,481.60 : x
  2. Step 2: Convert to fraction form
    472,307.20/709,843.20 = 411,481.60/x
  3. Step 3: Cross multiply
    472,307.20x = 709,843.20 × 411,481.60
  4. Step 4: Simplify right side
    472,307.20x = 292,087,415,685.12
  5. Step 5: Solve for x
    x = 292,087,415,685.12/472,307.20
  6. Step 6: Final answer
    x = 618,426.77

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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.