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Finding the Fourth Proportional to 282,492.72, 389,841.12 and 155,170.80

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Solution

The fourth proportional to 282,492.72, 389,841.12 and 155,170.80 is: 214,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,492.72 : 389,841.12 = 155,170.80 : x
  2. Step 2: Convert to fraction form
    282,492.72/389,841.12 = 155,170.80/x
  3. Step 3: Cross multiply
    282,492.72x = 389,841.12 × 155,170.80
  4. Step 4: Simplify right side
    282,492.72x = 60,491,958,463.30
  5. Step 5: Solve for x
    x = 60,491,958,463.30/282,492.72
  6. Step 6: Final answer
    x = 214,136.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.