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Finding the Fourth Proportional to 285,393.94, 428,056.88 and 75,048.28

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Solution

The fourth proportional to 285,393.94, 428,056.88 and 75,048.28 is: 112,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,393.94 : 428,056.88 = 75,048.28 : x
  2. Step 2: Convert to fraction form
    285,393.94/428,056.88 = 75,048.28/x
  3. Step 3: Cross multiply
    285,393.94x = 428,056.88 × 75,048.28
  4. Step 4: Simplify right side
    285,393.94x = 32,124,932,586.17
  5. Step 5: Solve for x
    x = 32,124,932,586.17/285,393.94
  6. Step 6: Final answer
    x = 112,563.47

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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.