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Finding the Fourth Proportional to 301,176.65, 415,644.87 and 172,134.14

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Solution

The fourth proportional to 301,176.65, 415,644.87 and 172,134.14 is: 237,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,176.65 : 415,644.87 = 172,134.14 : x
  2. Step 2: Convert to fraction form
    301,176.65/415,644.87 = 172,134.14/x
  3. Step 3: Cross multiply
    301,176.65x = 415,644.87 × 172,134.14
  4. Step 4: Simplify right side
    301,176.65x = 71,546,672,242.86
  5. Step 5: Solve for x
    x = 71,546,672,242.86/301,176.65
  6. Step 6: Final answer
    x = 237,557.17

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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.