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Finding the Fourth Proportional to 230,779.80, 346,169.70 and 188,789.40

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Solution

The fourth proportional to 230,779.80, 346,169.70 and 188,789.40 is: 283,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,779.80 : 346,169.70 = 188,789.40 : x
  2. Step 2: Convert to fraction form
    230,779.80/346,169.70 = 188,789.40/x
  3. Step 3: Cross multiply
    230,779.80x = 346,169.70 × 188,789.40
  4. Step 4: Simplify right side
    230,779.80x = 65,353,169,961.18
  5. Step 5: Solve for x
    x = 65,353,169,961.18/230,779.80
  6. Step 6: Final answer
    x = 283,184.10

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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.