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Finding the Fourth Proportional to 389,618.70, 584,486.45 and 164,978.70

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Solution

The fourth proportional to 389,618.70, 584,486.45 and 164,978.70 is: 247,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,618.70 : 584,486.45 = 164,978.70 : x
  2. Step 2: Convert to fraction form
    389,618.70/584,486.45 = 164,978.70/x
  3. Step 3: Cross multiply
    389,618.70x = 584,486.45 × 164,978.70
  4. Step 4: Simplify right side
    389,618.70x = 96,427,814,688.62
  5. Step 5: Solve for x
    x = 96,427,814,688.62/389,618.70
  6. Step 6: Final answer
    x = 247,492.78

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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.