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Finding the Fourth Proportional to 413,658.03, 620,333.81 and 147,347.79

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Solution

The fourth proportional to 413,658.03, 620,333.81 and 147,347.79 is: 220,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,658.03 : 620,333.81 = 147,347.79 : x
  2. Step 2: Convert to fraction form
    413,658.03/620,333.81 = 147,347.79/x
  3. Step 3: Cross multiply
    413,658.03x = 620,333.81 × 147,347.79
  4. Step 4: Simplify right side
    413,658.03x = 91,404,815,229.04
  5. Step 5: Solve for x
    x = 91,404,815,229.04/413,658.03
  6. Step 6: Final answer
    x = 220,967.10

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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.