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Finding the Fourth Proportional to 285,088.84, 427,600.38 and 74,743.48

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Solution

The fourth proportional to 285,088.84, 427,600.38 and 74,743.48 is: 112,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,088.84 : 427,600.38 = 74,743.48 : x
  2. Step 2: Convert to fraction form
    285,088.84/427,600.38 = 74,743.48/x
  3. Step 3: Cross multiply
    285,088.84x = 427,600.38 × 74,743.48
  4. Step 4: Simplify right side
    285,088.84x = 31,960,340,450.52
  5. Step 5: Solve for x
    x = 31,960,340,450.52/285,088.84
  6. Step 6: Final answer
    x = 112,106.60

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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.