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Finding the Fourth Proportional to 287,830.44, 431,184.66 and 175,231.44

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Solution

The fourth proportional to 287,830.44, 431,184.66 and 175,231.44 is: 262,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,830.44 : 431,184.66 = 175,231.44 : x
  2. Step 2: Convert to fraction form
    287,830.44/431,184.66 = 175,231.44/x
  3. Step 3: Cross multiply
    287,830.44x = 431,184.66 × 175,231.44
  4. Step 4: Simplify right side
    287,830.44x = 75,557,108,877.71
  5. Step 5: Solve for x
    x = 75,557,108,877.71/287,830.44
  6. Step 6: Final answer
    x = 262,505.62

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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.