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Finding the Fourth Proportional to 414,498.67, 621,806.40 and 144,587.45

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Solution

The fourth proportional to 414,498.67, 621,806.40 and 144,587.45 is: 216,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,498.67 : 621,806.40 = 144,587.45 : x
  2. Step 2: Convert to fraction form
    414,498.67/621,806.40 = 144,587.45/x
  3. Step 3: Cross multiply
    414,498.67x = 621,806.40 × 144,587.45
  4. Step 4: Simplify right side
    414,498.67x = 89,905,399,826.54
  5. Step 5: Solve for x
    x = 89,905,399,826.54/414,498.67
  6. Step 6: Final answer
    x = 216,901.54

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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.