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Finding the Fourth Proportional to 407,212.30, 609,834.30 and 389,497.60

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Solution

The fourth proportional to 407,212.30, 609,834.30 and 389,497.60 is: 583,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,212.30 : 609,834.30 = 389,497.60 : x
  2. Step 2: Convert to fraction form
    407,212.30/609,834.30 = 389,497.60/x
  3. Step 3: Cross multiply
    407,212.30x = 609,834.30 × 389,497.60
  4. Step 4: Simplify right side
    407,212.30x = 237,528,996,247.68
  5. Step 5: Solve for x
    x = 237,528,996,247.68/407,212.30
  6. Step 6: Final answer
    x = 583,305.06

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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.