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Finding the Fourth Proportional to 384,906.40, 531,154.10 and 210,473.40

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Solution

The fourth proportional to 384,906.40, 531,154.10 and 210,473.40 is: 290,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,906.40 : 531,154.10 = 210,473.40 : x
  2. Step 2: Convert to fraction form
    384,906.40/531,154.10 = 210,473.40/x
  3. Step 3: Cross multiply
    384,906.40x = 531,154.10 × 210,473.40
  4. Step 4: Simplify right side
    384,906.40x = 111,793,809,350.94
  5. Step 5: Solve for x
    x = 111,793,809,350.94/384,906.40
  6. Step 6: Final answer
    x = 290,444.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.