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Finding the Fourth Proportional to 407,211.30, 609,832.80 and 389,496.60

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Solution

The fourth proportional to 407,211.30, 609,832.80 and 389,496.60 is: 583,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,211.30 : 609,832.80 = 389,496.60 : x
  2. Step 2: Convert to fraction form
    407,211.30/609,832.80 = 389,496.60/x
  3. Step 3: Cross multiply
    407,211.30x = 609,832.80 × 389,496.60
  4. Step 4: Simplify right side
    407,211.30x = 237,527,802,168.48
  5. Step 5: Solve for x
    x = 237,527,802,168.48/407,211.30
  6. Step 6: Final answer
    x = 583,303.56

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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.