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Finding the Fourth Proportional to 301,306.86, 415,802.33 and 165,343.08

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Solution

The fourth proportional to 301,306.86, 415,802.33 and 165,343.08 is: 228,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,306.86 : 415,802.33 = 165,343.08 : x
  2. Step 2: Convert to fraction form
    301,306.86/415,802.33 = 165,343.08/x
  3. Step 3: Cross multiply
    301,306.86x = 415,802.33 × 165,343.08
  4. Step 4: Simplify right side
    301,306.86x = 68,750,037,086.66
  5. Step 5: Solve for x
    x = 68,750,037,086.66/301,306.86
  6. Step 6: Final answer
    x = 228,172.82

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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.