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Finding the Fourth Proportional to 284,758.31, 427,347.75 and 134,999.13

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Solution

The fourth proportional to 284,758.31, 427,347.75 and 134,999.13 is: 202,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,758.31 : 427,347.75 = 134,999.13 : x
  2. Step 2: Convert to fraction form
    284,758.31/427,347.75 = 134,999.13/x
  3. Step 3: Cross multiply
    284,758.31x = 427,347.75 × 134,999.13
  4. Step 4: Simplify right side
    284,758.31x = 57,691,571,645.72
  5. Step 5: Solve for x
    x = 57,691,571,645.72/284,758.31
  6. Step 6: Final answer
    x = 202,598.38

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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.