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Finding the Fourth Proportional to 279,767.40, 419,775.12 and 146,616

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Solution

The fourth proportional to 279,767.40, 419,775.12 and 146,616 is: 219,988.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,767.40 : 419,775.12 = 146,616 : x
  2. Step 2: Convert to fraction form
    279,767.40/419,775.12 = 146,616/x
  3. Step 3: Cross multiply
    279,767.40x = 419,775.12 × 146,616
  4. Step 4: Simplify right side
    279,767.40x = 61,545,748,993.92
  5. Step 5: Solve for x
    x = 61,545,748,993.92/279,767.40
  6. Step 6: Final answer
    x = 219,988.99

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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.