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Finding the Fourth Proportional to 401,315.92, 602,036.08 and 135,055.69

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Solution

The fourth proportional to 401,315.92, 602,036.08 and 135,055.69 is: 202,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,315.92 : 602,036.08 = 135,055.69 : x
  2. Step 2: Convert to fraction form
    401,315.92/602,036.08 = 135,055.69/x
  3. Step 3: Cross multiply
    401,315.92x = 602,036.08 × 135,055.69
  4. Step 4: Simplify right side
    401,315.92x = 81,308,396,346.57
  5. Step 5: Solve for x
    x = 81,308,396,346.57/401,315.92
  6. Step 6: Final answer
    x = 202,604.46

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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.