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Finding the Fourth Proportional to 287,101.53, 430,652.43 and 129,145.44

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Solution

The fourth proportional to 287,101.53, 430,652.43 and 129,145.44 is: 193,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,101.53 : 430,652.43 = 129,145.44 : x
  2. Step 2: Convert to fraction form
    287,101.53/430,652.43 = 129,145.44/x
  3. Step 3: Cross multiply
    287,101.53x = 430,652.43 × 129,145.44
  4. Step 4: Simplify right side
    287,101.53x = 55,616,797,559.42
  5. Step 5: Solve for x
    x = 55,616,797,559.42/287,101.53
  6. Step 6: Final answer
    x = 193,718.22

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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.