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Finding the Fourth Proportional to 389,727.80, 584,591.70 and 310,412.60

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Solution

The fourth proportional to 389,727.80, 584,591.70 and 310,412.60 is: 465,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,727.80 : 584,591.70 = 310,412.60 : x
  2. Step 2: Convert to fraction form
    389,727.80/584,591.70 = 310,412.60/x
  3. Step 3: Cross multiply
    389,727.80x = 584,591.70 × 310,412.60
  4. Step 4: Simplify right side
    389,727.80x = 181,464,629,535.42
  5. Step 5: Solve for x
    x = 181,464,629,535.42/389,727.80
  6. Step 6: Final answer
    x = 465,618.90

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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.