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Finding the Fourth Proportional to 287,904.60, 431,468.10 and 254,467.80

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Solution

The fourth proportional to 287,904.60, 431,468.10 and 254,467.80 is: 381,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,904.60 : 431,468.10 = 254,467.80 : x
  2. Step 2: Convert to fraction form
    287,904.60/431,468.10 = 254,467.80/x
  3. Step 3: Cross multiply
    287,904.60x = 431,468.10 × 254,467.80
  4. Step 4: Simplify right side
    287,904.60x = 109,794,738,177.18
  5. Step 5: Solve for x
    x = 109,794,738,177.18/287,904.60
  6. Step 6: Final answer
    x = 381,358.05

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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.