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Finding the Fourth Proportional to 278,117.69, 416,143.10 and 165,858.98

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Solution

The fourth proportional to 278,117.69, 416,143.10 and 165,858.98 is: 248,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,117.69 : 416,143.10 = 165,858.98 : x
  2. Step 2: Convert to fraction form
    278,117.69/416,143.10 = 165,858.98/x
  3. Step 3: Cross multiply
    278,117.69x = 416,143.10 × 165,858.98
  4. Step 4: Simplify right side
    278,117.69x = 69,021,068,433.97
  5. Step 5: Solve for x
    x = 69,021,068,433.97/278,117.69
  6. Step 6: Final answer
    x = 248,172.17

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1.5x scale

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.