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Finding the Fourth Proportional to 401,242.65, 601,487.20 and 134,816.85

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Solution

The fourth proportional to 401,242.65, 601,487.20 and 134,816.85 is: 202,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,242.65 : 601,487.20 = 134,816.85 : x
  2. Step 2: Convert to fraction form
    401,242.65/601,487.20 = 134,816.85/x
  3. Step 3: Cross multiply
    401,242.65x = 601,487.20 × 134,816.85
  4. Step 4: Simplify right side
    401,242.65x = 81,090,609,619.32
  5. Step 5: Solve for x
    x = 81,090,609,619.32/401,242.65
  6. Step 6: Final answer
    x = 202,098.68

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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.