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Finding the Fourth Proportional to 401,471.83, 602,208.81 and 135,419.04

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Solution

The fourth proportional to 401,471.83, 602,208.81 and 135,419.04 is: 203,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,471.83 : 602,208.81 = 135,419.04 : x
  2. Step 2: Convert to fraction form
    401,471.83/602,208.81 = 135,419.04/x
  3. Step 3: Cross multiply
    401,471.83x = 602,208.81 × 135,419.04
  4. Step 4: Simplify right side
    401,471.83x = 81,550,538,929.74
  5. Step 5: Solve for x
    x = 81,550,538,929.74/401,471.83
  6. Step 6: Final answer
    x = 203,128.92

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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.