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Finding the Fourth Proportional to 414,139.20, 621,208.80 and 147,908.40

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Solution

The fourth proportional to 414,139.20, 621,208.80 and 147,908.40 is: 221,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,139.20 : 621,208.80 = 147,908.40 : x
  2. Step 2: Convert to fraction form
    414,139.20/621,208.80 = 147,908.40/x
  3. Step 3: Cross multiply
    414,139.20x = 621,208.80 × 147,908.40
  4. Step 4: Simplify right side
    414,139.20x = 91,881,999,673.92
  5. Step 5: Solve for x
    x = 91,881,999,673.92/414,139.20
  6. Step 6: Final answer
    x = 221,862.60

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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.