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Finding the Fourth Proportional to 278,710.96, 384,359.16 and 214,947.76

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Solution

The fourth proportional to 278,710.96, 384,359.16 and 214,947.76 is: 296,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,710.96 : 384,359.16 = 214,947.76 : x
  2. Step 2: Convert to fraction form
    278,710.96/384,359.16 = 214,947.76/x
  3. Step 3: Cross multiply
    278,710.96x = 384,359.16 × 214,947.76
  4. Step 4: Simplify right side
    278,710.96x = 82,617,140,477.48
  5. Step 5: Solve for x
    x = 82,617,140,477.48/278,710.96
  6. Step 6: Final answer
    x = 296,425.88

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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.