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Finding the Fourth Proportional to 414,008.70, 621,013.05 and 147,777.90

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Solution

The fourth proportional to 414,008.70, 621,013.05 and 147,777.90 is: 221,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,008.70 : 621,013.05 = 147,777.90 : x
  2. Step 2: Convert to fraction form
    414,008.70/621,013.05 = 147,777.90/x
  3. Step 3: Cross multiply
    414,008.70x = 621,013.05 × 147,777.90
  4. Step 4: Simplify right side
    414,008.70x = 91,772,004,401.60
  5. Step 5: Solve for x
    x = 91,772,004,401.60/414,008.70
  6. Step 6: Final answer
    x = 221,666.85

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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.