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Finding the Fourth Proportional to 314,511.35, 471,764.79 and 188,186.78

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Solution

The fourth proportional to 314,511.35, 471,764.79 and 188,186.78 is: 282,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,511.35 : 471,764.79 = 188,186.78 : x
  2. Step 2: Convert to fraction form
    314,511.35/471,764.79 = 188,186.78/x
  3. Step 3: Cross multiply
    314,511.35x = 471,764.79 × 188,186.78
  4. Step 4: Simplify right side
    314,511.35x = 88,779,897,926.89
  5. Step 5: Solve for x
    x = 88,779,897,926.89/314,511.35
  6. Step 6: Final answer
    x = 282,278.84

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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.