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Finding the Fourth Proportional to 459,238.60, 687,629.10 and 292,121.80

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Solution

The fourth proportional to 459,238.60, 687,629.10 and 292,121.80 is: 437,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,238.60 : 687,629.10 = 292,121.80 : x
  2. Step 2: Convert to fraction form
    459,238.60/687,629.10 = 292,121.80/x
  3. Step 3: Cross multiply
    459,238.60x = 687,629.10 × 292,121.80
  4. Step 4: Simplify right side
    459,238.60x = 200,871,450,424.38
  5. Step 5: Solve for x
    x = 200,871,450,424.38/459,238.60
  6. Step 6: Final answer
    x = 437,401.06

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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.