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Finding the Fourth Proportional to 285,696.20, 428,544.30 and 86,047.40

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Solution

The fourth proportional to 285,696.20, 428,544.30 and 86,047.40 is: 129,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,696.20 : 428,544.30 = 86,047.40 : x
  2. Step 2: Convert to fraction form
    285,696.20/428,544.30 = 86,047.40/x
  3. Step 3: Cross multiply
    285,696.20x = 428,544.30 × 86,047.40
  4. Step 4: Simplify right side
    285,696.20x = 36,875,122,799.82
  5. Step 5: Solve for x
    x = 36,875,122,799.82/285,696.20
  6. Step 6: Final answer
    x = 129,071.10

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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.