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Finding the Fourth Proportional to 389,643.60, 584,471.16 and 109,143.12

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Solution

The fourth proportional to 389,643.60, 584,471.16 and 109,143.12 is: 163,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,643.60 : 584,471.16 = 109,143.12 : x
  2. Step 2: Convert to fraction form
    389,643.60/584,471.16 = 109,143.12/x
  3. Step 3: Cross multiply
    389,643.60x = 584,471.16 × 109,143.12
  4. Step 4: Simplify right side
    389,643.60x = 63,791,005,952.42
  5. Step 5: Solve for x
    x = 63,791,005,952.42/389,643.60
  6. Step 6: Final answer
    x = 163,716.29

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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.