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Finding the Fourth Proportional to 284,886.48, 427,205.16 and 135,169.56

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Solution

The fourth proportional to 284,886.48, 427,205.16 and 135,169.56 is: 202,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,886.48 : 427,205.16 = 135,169.56 : x
  2. Step 2: Convert to fraction form
    284,886.48/427,205.16 = 135,169.56/x
  3. Step 3: Cross multiply
    284,886.48x = 427,205.16 × 135,169.56
  4. Step 4: Simplify right side
    284,886.48x = 57,745,133,506.93
  5. Step 5: Solve for x
    x = 57,745,133,506.93/284,886.48
  6. Step 6: Final answer
    x = 202,695.24

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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.