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Finding the Fourth Proportional to 389,643.60, 584,173.80 and 212,350.80

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Solution

The fourth proportional to 389,643.60, 584,173.80 and 212,350.80 is: 318,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,643.60 : 584,173.80 = 212,350.80 : x
  2. Step 2: Convert to fraction form
    389,643.60/584,173.80 = 212,350.80/x
  3. Step 3: Cross multiply
    389,643.60x = 584,173.80 × 212,350.80
  4. Step 4: Simplify right side
    389,643.60x = 124,049,773,769.04
  5. Step 5: Solve for x
    x = 124,049,773,769.04/389,643.60
  6. Step 6: Final answer
    x = 318,367.28

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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.