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Finding the Fourth Proportional to 414,101.40, 621,152.10 and 147,989.40

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Solution

The fourth proportional to 414,101.40, 621,152.10 and 147,989.40 is: 221,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,101.40 : 621,152.10 = 147,989.40 : x
  2. Step 2: Convert to fraction form
    414,101.40/621,152.10 = 147,989.40/x
  3. Step 3: Cross multiply
    414,101.40x = 621,152.10 × 147,989.40
  4. Step 4: Simplify right side
    414,101.40x = 91,923,926,587.74
  5. Step 5: Solve for x
    x = 91,923,926,587.74/414,101.40
  6. Step 6: Final answer
    x = 221,984.10

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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.