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Finding the Fourth Proportional to 301,255.65, 415,737 and 165,287.07

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Solution

The fourth proportional to 301,255.65, 415,737 and 165,287.07 is: 228,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,255.65 : 415,737 = 165,287.07 : x
  2. Step 2: Convert to fraction form
    301,255.65/415,737 = 165,287.07/x
  3. Step 3: Cross multiply
    301,255.65x = 415,737 × 165,287.07
  4. Step 4: Simplify right side
    301,255.65x = 68,715,950,620.59
  5. Step 5: Solve for x
    x = 68,715,950,620.59/301,255.65
  6. Step 6: Final answer
    x = 228,098.46

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1.5x scale

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.