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Finding the Fourth Proportional to 287,423.82, 430,947.99 and 137,659.32

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Solution

The fourth proportional to 287,423.82, 430,947.99 and 137,659.32 is: 206,399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,423.82 : 430,947.99 = 137,659.32 : x
  2. Step 2: Convert to fraction form
    287,423.82/430,947.99 = 137,659.32/x
  3. Step 3: Cross multiply
    287,423.82x = 430,947.99 × 137,659.32
  4. Step 4: Simplify right side
    287,423.82x = 59,324,007,258.77
  5. Step 5: Solve for x
    x = 59,324,007,258.77/287,423.82
  6. Step 6: Final answer
    x = 206,399.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.