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Finding the Fourth Proportional to 414,019.76, 621,160.85 and 147,774.38

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Solution

The fourth proportional to 414,019.76, 621,160.85 and 147,774.38 is: 221,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,019.76 : 621,160.85 = 147,774.38 : x
  2. Step 2: Convert to fraction form
    414,019.76/621,160.85 = 147,774.38/x
  3. Step 3: Cross multiply
    414,019.76x = 621,160.85 × 147,774.38
  4. Step 4: Simplify right side
    414,019.76x = 91,791,656,752.65
  5. Step 5: Solve for x
    x = 91,791,656,752.65/414,019.76
  6. Step 6: Final answer
    x = 221,708.40

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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.