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Finding the Fourth Proportional to 312,906.39, 469,204.31 and 99,646.52

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Solution

The fourth proportional to 312,906.39, 469,204.31 and 99,646.52 is: 149,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,906.39 : 469,204.31 = 99,646.52 : x
  2. Step 2: Convert to fraction form
    312,906.39/469,204.31 = 99,646.52/x
  3. Step 3: Cross multiply
    312,906.39x = 469,204.31 × 99,646.52
  4. Step 4: Simplify right side
    312,906.39x = 46,754,573,816.25
  5. Step 5: Solve for x
    x = 46,754,573,816.25/312,906.39
  6. Step 6: Final answer
    x = 149,420.32

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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.