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Finding the Fourth Proportional to 280,067.64, 386,488.64 and 152,735.64

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Solution

The fourth proportional to 280,067.64, 386,488.64 and 152,735.64 is: 210,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,067.64 : 386,488.64 = 152,735.64 : x
  2. Step 2: Convert to fraction form
    280,067.64/386,488.64 = 152,735.64/x
  3. Step 3: Cross multiply
    280,067.64x = 386,488.64 × 152,735.64
  4. Step 4: Simplify right side
    280,067.64x = 59,030,589,783.13
  5. Step 5: Solve for x
    x = 59,030,589,783.13/280,067.64
  6. Step 6: Final answer
    x = 210,772.62

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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.