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Finding the Fourth Proportional to 278,562.80, 384,415.52 and 151,238.36

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Solution

The fourth proportional to 278,562.80, 384,415.52 and 151,238.36 is: 208,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,562.80 : 384,415.52 = 151,238.36 : x
  2. Step 2: Convert to fraction form
    278,562.80/384,415.52 = 151,238.36/x
  3. Step 3: Cross multiply
    278,562.80x = 384,415.52 × 151,238.36
  4. Step 4: Simplify right side
    278,562.80x = 58,138,372,803.35
  5. Step 5: Solve for x
    x = 58,138,372,803.35/278,562.80
  6. Step 6: Final answer
    x = 208,708.32

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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.