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Finding the Fourth Proportional to 301,108.65, 415,462.68 and 172,005.90

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Solution

The fourth proportional to 301,108.65, 415,462.68 and 172,005.90 is: 237,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,108.65 : 415,462.68 = 172,005.90 : x
  2. Step 2: Convert to fraction form
    301,108.65/415,462.68 = 172,005.90/x
  3. Step 3: Cross multiply
    301,108.65x = 415,462.68 × 172,005.90
  4. Step 4: Simplify right side
    301,108.65x = 71,462,032,189.81
  5. Step 5: Solve for x
    x = 71,462,032,189.81/301,108.65
  6. Step 6: Final answer
    x = 237,329.72

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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.