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Finding the Fourth Proportional to 285,084.94, 427,618.59 and 135,432.94

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Solution

The fourth proportional to 285,084.94, 427,618.59 and 135,432.94 is: 203,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,084.94 : 427,618.59 = 135,432.94 : x
  2. Step 2: Convert to fraction form
    285,084.94/427,618.59 = 135,432.94/x
  3. Step 3: Cross multiply
    285,084.94x = 427,618.59 × 135,432.94
  4. Step 4: Simplify right side
    285,084.94x = 57,913,642,842.35
  5. Step 5: Solve for x
    x = 57,913,642,842.35/285,084.94
  6. Step 6: Final answer
    x = 203,145.22

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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.