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Finding the Fourth Proportional to 287,773.36, 431,586.40 and 85,322.12

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Solution

The fourth proportional to 287,773.36, 431,586.40 and 85,322.12 is: 127,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,773.36 : 431,586.40 = 85,322.12 : x
  2. Step 2: Convert to fraction form
    287,773.36/431,586.40 = 85,322.12/x
  3. Step 3: Cross multiply
    287,773.36x = 431,586.40 × 85,322.12
  4. Step 4: Simplify right side
    287,773.36x = 36,823,866,611.17
  5. Step 5: Solve for x
    x = 36,823,866,611.17/287,773.36
  6. Step 6: Final answer
    x = 127,961.35

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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.