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Finding the Fourth Proportional to 407,021.55, 609,858.40 and 140,634.01

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Solution

The fourth proportional to 407,021.55, 609,858.40 and 140,634.01 is: 210,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,021.55 : 609,858.40 = 140,634.01 : x
  2. Step 2: Convert to fraction form
    407,021.55/609,858.40 = 140,634.01/x
  3. Step 3: Cross multiply
    407,021.55x = 609,858.40 × 140,634.01
  4. Step 4: Simplify right side
    407,021.55x = 85,766,831,621.01
  5. Step 5: Solve for x
    x = 85,766,831,621.01/407,021.55
  6. Step 6: Final answer
    x = 210,718.16

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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.