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Finding the Fourth Proportional to 287,081.96, 395,762.48 and 201,934.76

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Solution

The fourth proportional to 287,081.96, 395,762.48 and 201,934.76 is: 278,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,081.96 : 395,762.48 = 201,934.76 : x
  2. Step 2: Convert to fraction form
    287,081.96/395,762.48 = 201,934.76/x
  3. Step 3: Cross multiply
    287,081.96x = 395,762.48 × 201,934.76
  4. Step 4: Simplify right side
    287,081.96x = 79,918,201,415.80
  5. Step 5: Solve for x
    x = 79,918,201,415.80/287,081.96
  6. Step 6: Final answer
    x = 278,381.13

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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.