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Finding the Fourth Proportional to 413,658.78, 620,334.93 and 147,348.54

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Solution

The fourth proportional to 413,658.78, 620,334.93 and 147,348.54 is: 220,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,658.78 : 620,334.93 = 147,348.54 : x
  2. Step 2: Convert to fraction form
    413,658.78/620,334.93 = 147,348.54/x
  3. Step 3: Cross multiply
    413,658.78x = 620,334.93 × 147,348.54
  4. Step 4: Simplify right side
    413,658.78x = 91,405,446,246.50
  5. Step 5: Solve for x
    x = 91,405,446,246.50/413,658.78
  6. Step 6: Final answer
    x = 220,968.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.