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Finding the Fourth Proportional to 871,342.80, 1,305,121.47 and 421,119.45

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Solution

The fourth proportional to 871,342.80, 1,305,121.47 and 421,119.45 is: 630,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,342.80 : 1,305,121.47 = 421,119.45 : x
  2. Step 2: Convert to fraction form
    871,342.80/1,305,121.47 = 421,119.45/x
  3. Step 3: Cross multiply
    871,342.80x = 1,305,121.47 × 421,119.45
  4. Step 4: Simplify right side
    871,342.80x = 549,612,035,629.59
  5. Step 5: Solve for x
    x = 549,612,035,629.59/871,342.80
  6. Step 6: Final answer
    x = 630,764.42

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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.