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Finding the Fourth Proportional to 389,649.59, 583,957.70 and 200,102.30

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Solution

The fourth proportional to 389,649.59, 583,957.70 and 200,102.30 is: 299,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,649.59 : 583,957.70 = 200,102.30 : x
  2. Step 2: Convert to fraction form
    389,649.59/583,957.70 = 200,102.30/x
  3. Step 3: Cross multiply
    389,649.59x = 583,957.70 × 200,102.30
  4. Step 4: Simplify right side
    389,649.59x = 116,851,278,872.71
  5. Step 5: Solve for x
    x = 116,851,278,872.71/389,649.59
  6. Step 6: Final answer
    x = 299,888.11

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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.