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Finding the Fourth Proportional to 346,960.80, 519,404.40 and 206,647.20

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Solution

The fourth proportional to 346,960.80, 519,404.40 and 206,647.20 is: 309,353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,960.80 : 519,404.40 = 206,647.20 : x
  2. Step 2: Convert to fraction form
    346,960.80/519,404.40 = 206,647.20/x
  3. Step 3: Cross multiply
    346,960.80x = 519,404.40 × 206,647.20
  4. Step 4: Simplify right side
    346,960.80x = 107,333,464,927.68
  5. Step 5: Solve for x
    x = 107,333,464,927.68/346,960.80
  6. Step 6: Final answer
    x = 309,353.29

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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.