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Finding the Fourth Proportional to 414,535.60, 621,803.40 and 148,304.80

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Solution

The fourth proportional to 414,535.60, 621,803.40 and 148,304.80 is: 222,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,535.60 : 621,803.40 = 148,304.80 : x
  2. Step 2: Convert to fraction form
    414,535.60/621,803.40 = 148,304.80/x
  3. Step 3: Cross multiply
    414,535.60x = 621,803.40 × 148,304.80
  4. Step 4: Simplify right side
    414,535.60x = 92,216,428,876.32
  5. Step 5: Solve for x
    x = 92,216,428,876.32/414,535.60
  6. Step 6: Final answer
    x = 222,457.20

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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.