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Finding the Fourth Proportional to 389,651.47, 583,960.51 and 200,104.18

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Solution

The fourth proportional to 389,651.47, 583,960.51 and 200,104.18 is: 299,890.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,651.47 : 583,960.51 = 200,104.18 : x
  2. Step 2: Convert to fraction form
    389,651.47/583,960.51 = 200,104.18/x
  3. Step 3: Cross multiply
    389,651.47x = 583,960.51 × 200,104.18
  4. Step 4: Simplify right side
    389,651.47x = 116,852,939,005.93
  5. Step 5: Solve for x
    x = 116,852,939,005.93/389,651.47
  6. Step 6: Final answer
    x = 299,890.92

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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.