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Finding the Fourth Proportional to 201,605.70, 302,408.55 and 164,280.90

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Solution

The fourth proportional to 201,605.70, 302,408.55 and 164,280.90 is: 246,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,605.70 : 302,408.55 = 164,280.90 : x
  2. Step 2: Convert to fraction form
    201,605.70/302,408.55 = 164,280.90/x
  3. Step 3: Cross multiply
    201,605.70x = 302,408.55 × 164,280.90
  4. Step 4: Simplify right side
    201,605.70x = 49,679,948,761.70
  5. Step 5: Solve for x
    x = 49,679,948,761.70/201,605.70
  6. Step 6: Final answer
    x = 246,421.35

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1.5x scale

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.