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Finding the Fourth Proportional to 278,960.48, 418,417 and 110,435

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Solution

The fourth proportional to 278,960.48, 418,417 and 110,435 is: 165,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,960.48 : 418,417 = 110,435 : x
  2. Step 2: Convert to fraction form
    278,960.48/418,417 = 110,435/x
  3. Step 3: Cross multiply
    278,960.48x = 418,417 × 110,435
  4. Step 4: Simplify right side
    278,960.48x = 46,207,881,395
  5. Step 5: Solve for x
    x = 46,207,881,395/278,960.48
  6. Step 6: Final answer
    x = 165,643.11

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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.