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Finding the Fourth Proportional to 401,628.92, 602,443.44 and 135,367.20

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Solution

The fourth proportional to 401,628.92, 602,443.44 and 135,367.20 is: 203,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,628.92 : 602,443.44 = 135,367.20 : x
  2. Step 2: Convert to fraction form
    401,628.92/602,443.44 = 135,367.20/x
  3. Step 3: Cross multiply
    401,628.92x = 602,443.44 × 135,367.20
  4. Step 4: Simplify right side
    401,628.92x = 81,551,081,631.17
  5. Step 5: Solve for x
    x = 81,551,081,631.17/401,628.92
  6. Step 6: Final answer
    x = 203,050.82

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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.