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Finding the Fourth Proportional to 287,858.41, 431,836.82 and 98,308.38

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Solution

The fourth proportional to 287,858.41, 431,836.82 and 98,308.38 is: 147,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,858.41 : 431,836.82 = 98,308.38 : x
  2. Step 2: Convert to fraction form
    287,858.41/431,836.82 = 98,308.38/x
  3. Step 3: Cross multiply
    287,858.41x = 431,836.82 × 98,308.38
  4. Step 4: Simplify right side
    287,858.41x = 42,453,179,695.05
  5. Step 5: Solve for x
    x = 42,453,179,695.05/287,858.41
  6. Step 6: Final answer
    x = 147,479.38

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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.