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Finding the Fourth Proportional to 309,864.90, 464,906.70 and 298,929.90

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Solution

The fourth proportional to 309,864.90, 464,906.70 and 298,929.90 is: 448,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,864.90 : 464,906.70 = 298,929.90 : x
  2. Step 2: Convert to fraction form
    309,864.90/464,906.70 = 298,929.90/x
  3. Step 3: Cross multiply
    309,864.90x = 464,906.70 × 298,929.90
  4. Step 4: Simplify right side
    309,864.90x = 138,974,513,340.33
  5. Step 5: Solve for x
    x = 138,974,513,340.33/309,864.90
  6. Step 6: Final answer
    x = 448,500.34

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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.