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Finding the Fourth Proportional to 285,392.94, 428,055.38 and 75,047.28

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Solution

The fourth proportional to 285,392.94, 428,055.38 and 75,047.28 is: 112,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,392.94 : 428,055.38 = 75,047.28 : x
  2. Step 2: Convert to fraction form
    285,392.94/428,055.38 = 75,047.28/x
  3. Step 3: Cross multiply
    285,392.94x = 428,055.38 × 75,047.28
  4. Step 4: Simplify right side
    285,392.94x = 32,124,391,958.37
  5. Step 5: Solve for x
    x = 32,124,391,958.37/285,392.94
  6. Step 6: Final answer
    x = 112,561.97

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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.