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Finding the Fourth Proportional to 286,054.68, 394,902.48 and 201,549

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Solution

The fourth proportional to 286,054.68, 394,902.48 and 201,549 is: 278,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,054.68 : 394,902.48 = 201,549 : x
  2. Step 2: Convert to fraction form
    286,054.68/394,902.48 = 201,549/x
  3. Step 3: Cross multiply
    286,054.68x = 394,902.48 × 201,549
  4. Step 4: Simplify right side
    286,054.68x = 79,592,199,941.52
  5. Step 5: Solve for x
    x = 79,592,199,941.52/286,054.68
  6. Step 6: Final answer
    x = 278,241.21

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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.