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Finding the Fourth Proportional to 200,509.20, 300,828.60 and 134,024.40

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Solution

The fourth proportional to 200,509.20, 300,828.60 and 134,024.40 is: 201,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,509.20 : 300,828.60 = 134,024.40 : x
  2. Step 2: Convert to fraction form
    200,509.20/300,828.60 = 134,024.40/x
  3. Step 3: Cross multiply
    200,509.20x = 300,828.60 × 134,024.40
  4. Step 4: Simplify right side
    200,509.20x = 40,318,372,617.84
  5. Step 5: Solve for x
    x = 40,318,372,617.84/200,509.20
  6. Step 6: Final answer
    x = 201,079.91

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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.