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Finding the Fourth Proportional to 285,436.08, 428,214.24 and 107,939.16

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Solution

The fourth proportional to 285,436.08, 428,214.24 and 107,939.16 is: 161,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,436.08 : 428,214.24 = 107,939.16 : x
  2. Step 2: Convert to fraction form
    285,436.08/428,214.24 = 107,939.16/x
  3. Step 3: Cross multiply
    285,436.08x = 428,214.24 × 107,939.16
  4. Step 4: Simplify right side
    285,436.08x = 46,221,085,365.64
  5. Step 5: Solve for x
    x = 46,221,085,365.64/285,436.08
  6. Step 6: Final answer
    x = 161,931.47

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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.