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Finding the Fourth Proportional to 478,586.40, 717,879.60 and 412,101.60

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Solution

The fourth proportional to 478,586.40, 717,879.60 and 412,101.60 is: 618,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,586.40 : 717,879.60 = 412,101.60 : x
  2. Step 2: Convert to fraction form
    478,586.40/717,879.60 = 412,101.60/x
  3. Step 3: Cross multiply
    478,586.40x = 717,879.60 × 412,101.60
  4. Step 4: Simplify right side
    478,586.40x = 295,839,331,767.36
  5. Step 5: Solve for x
    x = 295,839,331,767.36/478,586.40
  6. Step 6: Final answer
    x = 618,152.40

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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.