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Finding the Fourth Proportional to 285,404.34, 428,110.74 and 135,660.06

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Solution

The fourth proportional to 285,404.34, 428,110.74 and 135,660.06 is: 203,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,404.34 : 428,110.74 = 135,660.06 : x
  2. Step 2: Convert to fraction form
    285,404.34/428,110.74 = 135,660.06/x
  3. Step 3: Cross multiply
    285,404.34x = 428,110.74 × 135,660.06
  4. Step 4: Simplify right side
    285,404.34x = 58,077,528,675.04
  5. Step 5: Solve for x
    x = 58,077,528,675.04/285,404.34
  6. Step 6: Final answer
    x = 203,492.10

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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.