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Finding the Fourth Proportional to 401,164.84, 601,838.07 and 134,918.05

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Solution

The fourth proportional to 401,164.84, 601,838.07 and 134,918.05 is: 202,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,164.84 : 601,838.07 = 134,918.05 : x
  2. Step 2: Convert to fraction form
    401,164.84/601,838.07 = 134,918.05/x
  3. Step 3: Cross multiply
    401,164.84x = 601,838.07 × 134,918.05
  4. Step 4: Simplify right side
    401,164.84x = 81,198,818,820.16
  5. Step 5: Solve for x
    x = 81,198,818,820.16/401,164.84
  6. Step 6: Final answer
    x = 202,407.62

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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.