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Finding the Fourth Proportional to 286,047.72, 394,744.59 and 158,723.01

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Solution

The fourth proportional to 286,047.72, 394,744.59 and 158,723.01 is: 219,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,047.72 : 394,744.59 = 158,723.01 : x
  2. Step 2: Convert to fraction form
    286,047.72/394,744.59 = 158,723.01/x
  3. Step 3: Cross multiply
    286,047.72x = 394,744.59 × 158,723.01
  4. Step 4: Simplify right side
    286,047.72x = 62,655,049,506.02
  5. Step 5: Solve for x
    x = 62,655,049,506.02/286,047.72
  6. Step 6: Final answer
    x = 219,037.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.