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Finding the Fourth Proportional to 415,819.92, 620,721.90 and 365,374.74

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Solution

The fourth proportional to 415,819.92, 620,721.90 and 365,374.74 is: 545,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,819.92 : 620,721.90 = 365,374.74 : x
  2. Step 2: Convert to fraction form
    415,819.92/620,721.90 = 365,374.74/x
  3. Step 3: Cross multiply
    415,819.92x = 620,721.90 × 365,374.74
  4. Step 4: Simplify right side
    415,819.92x = 226,796,102,824.81
  5. Step 5: Solve for x
    x = 226,796,102,824.81/415,819.92
  6. Step 6: Final answer
    x = 545,419.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.