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Finding the Fourth Proportional to 423,067.14, 634,602.90 and 142,586.82

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Solution

The fourth proportional to 423,067.14, 634,602.90 and 142,586.82 is: 213,880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,067.14 : 634,602.90 = 142,586.82 : x
  2. Step 2: Convert to fraction form
    423,067.14/634,602.90 = 142,586.82/x
  3. Step 3: Cross multiply
    423,067.14x = 634,602.90 × 142,586.82
  4. Step 4: Simplify right side
    423,067.14x = 90,486,009,473.78
  5. Step 5: Solve for x
    x = 90,486,009,473.78/423,067.14
  6. Step 6: Final answer
    x = 213,880.97

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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.