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Finding the Fourth Proportional to 285,428.20, 427,850.70 and 167,038.60

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Solution

The fourth proportional to 285,428.20, 427,850.70 and 167,038.60 is: 250,387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,428.20 : 427,850.70 = 167,038.60 : x
  2. Step 2: Convert to fraction form
    285,428.20/427,850.70 = 167,038.60/x
  3. Step 3: Cross multiply
    285,428.20x = 427,850.70 × 167,038.60
  4. Step 4: Simplify right side
    285,428.20x = 71,467,581,937.02
  5. Step 5: Solve for x
    x = 71,467,581,937.02/285,428.20
  6. Step 6: Final answer
    x = 250,387.25

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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.