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Finding the Fourth Proportional to 275,308.65, 412,875.50 and 187,128.81

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Solution

The fourth proportional to 275,308.65, 412,875.50 and 187,128.81 is: 280,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,308.65 : 412,875.50 = 187,128.81 : x
  2. Step 2: Convert to fraction form
    275,308.65/412,875.50 = 187,128.81/x
  3. Step 3: Cross multiply
    275,308.65x = 412,875.50 × 187,128.81
  4. Step 4: Simplify right side
    275,308.65x = 77,260,900,057.51
  5. Step 5: Solve for x
    x = 77,260,900,057.51/275,308.65
  6. Step 6: Final answer
    x = 280,633.75

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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.