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Finding the Fourth Proportional to 278,293.74, 384,046.32 and 150,970.24

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Solution

The fourth proportional to 278,293.74, 384,046.32 and 150,970.24 is: 208,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,293.74 : 384,046.32 = 150,970.24 : x
  2. Step 2: Convert to fraction form
    278,293.74/384,046.32 = 150,970.24/x
  3. Step 3: Cross multiply
    278,293.74x = 384,046.32 × 150,970.24
  4. Step 4: Simplify right side
    278,293.74x = 57,979,565,101.52
  5. Step 5: Solve for x
    x = 57,979,565,101.52/278,293.74
  6. Step 6: Final answer
    x = 208,339.45

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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.