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Finding the Fourth Proportional to 253,507.24, 380,634.68 and 141,406.48

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Solution

The fourth proportional to 253,507.24, 380,634.68 and 141,406.48 is: 212,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,507.24 : 380,634.68 = 141,406.48 : x
  2. Step 2: Convert to fraction form
    253,507.24/380,634.68 = 141,406.48/x
  3. Step 3: Cross multiply
    253,507.24x = 380,634.68 × 141,406.48
  4. Step 4: Simplify right side
    253,507.24x = 53,824,210,264.73
  5. Step 5: Solve for x
    x = 53,824,210,264.73/253,507.24
  6. Step 6: Final answer
    x = 212,318.24

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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.