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Finding the Fourth Proportional to 385,838.40, 579,399.84 and 260,286.72

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Solution

The fourth proportional to 385,838.40, 579,399.84 and 260,286.72 is: 390,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,838.40 : 579,399.84 = 260,286.72 : x
  2. Step 2: Convert to fraction form
    385,838.40/579,399.84 = 260,286.72/x
  3. Step 3: Cross multiply
    385,838.40x = 579,399.84 × 260,286.72
  4. Step 4: Simplify right side
    385,838.40x = 150,810,083,922.13
  5. Step 5: Solve for x
    x = 150,810,083,922.13/385,838.40
  6. Step 6: Final answer
    x = 390,863.34

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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.