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Finding the Fourth Proportional to 278,562, 384,430.14 and 163,846.56

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Solution

The fourth proportional to 278,562, 384,430.14 and 163,846.56 is: 226,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,562 : 384,430.14 = 163,846.56 : x
  2. Step 2: Convert to fraction form
    278,562/384,430.14 = 163,846.56/x
  3. Step 3: Cross multiply
    278,562x = 384,430.14 × 163,846.56
  4. Step 4: Simplify right side
    278,562x = 62,987,555,999.32
  5. Step 5: Solve for x
    x = 62,987,555,999.32/278,562
  6. Step 6: Final answer
    x = 226,116.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.