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Finding the Fourth Proportional to 478,448.40, 717,672.60 and 411,963.60

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Solution

The fourth proportional to 478,448.40, 717,672.60 and 411,963.60 is: 617,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,448.40 : 717,672.60 = 411,963.60 : x
  2. Step 2: Convert to fraction form
    478,448.40/717,672.60 = 411,963.60/x
  3. Step 3: Cross multiply
    478,448.40x = 717,672.60 × 411,963.60
  4. Step 4: Simplify right side
    478,448.40x = 295,654,987,917.36
  5. Step 5: Solve for x
    x = 295,654,987,917.36/478,448.40
  6. Step 6: Final answer
    x = 617,945.40

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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.