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Finding the Fourth Proportional to 285,987.21, 428,983.88 and 86,309.39

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Solution

The fourth proportional to 285,987.21, 428,983.88 and 86,309.39 is: 129,465.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,987.21 : 428,983.88 = 86,309.39 : x
  2. Step 2: Convert to fraction form
    285,987.21/428,983.88 = 86,309.39/x
  3. Step 3: Cross multiply
    285,987.21x = 428,983.88 × 86,309.39
  4. Step 4: Simplify right side
    285,987.21x = 37,025,334,426.17
  5. Step 5: Solve for x
    x = 37,025,334,426.17/285,987.21
  6. Step 6: Final answer
    x = 129,465.00

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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.