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Finding the Fourth Proportional to 314,779.84, 472,090.38 and 90,141.73

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Solution

The fourth proportional to 314,779.84, 472,090.38 and 90,141.73 is: 135,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,779.84 : 472,090.38 = 90,141.73 : x
  2. Step 2: Convert to fraction form
    314,779.84/472,090.38 = 90,141.73/x
  3. Step 3: Cross multiply
    314,779.84x = 472,090.38 × 90,141.73
  4. Step 4: Simplify right side
    314,779.84x = 42,555,043,569.56
  5. Step 5: Solve for x
    x = 42,555,043,569.56/314,779.84
  6. Step 6: Final answer
    x = 135,189.86

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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.