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Finding the Fourth Proportional to 478,172.88, 659,880.48 and 287,189.52

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Solution

The fourth proportional to 478,172.88, 659,880.48 and 287,189.52 is: 396,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,172.88 : 659,880.48 = 287,189.52 : x
  2. Step 2: Convert to fraction form
    478,172.88/659,880.48 = 287,189.52/x
  3. Step 3: Cross multiply
    478,172.88x = 659,880.48 × 287,189.52
  4. Step 4: Simplify right side
    478,172.88x = 189,510,758,308.57
  5. Step 5: Solve for x
    x = 189,510,758,308.57/478,172.88
  6. Step 6: Final answer
    x = 396,322.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.