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Finding the Fourth Proportional to 201,494.80, 302,898.30 and 142,737.40

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Solution

The fourth proportional to 201,494.80, 302,898.30 and 142,737.40 is: 214,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,494.80 : 302,898.30 = 142,737.40 : x
  2. Step 2: Convert to fraction form
    201,494.80/302,898.30 = 142,737.40/x
  3. Step 3: Cross multiply
    201,494.80x = 302,898.30 × 142,737.40
  4. Step 4: Simplify right side
    201,494.80x = 43,234,915,806.42
  5. Step 5: Solve for x
    x = 43,234,915,806.42/201,494.80
  6. Step 6: Final answer
    x = 214,570.88

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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.