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Finding the Fourth Proportional to 286,726.80, 430,284.60 and 186,643.20

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Solution

The fourth proportional to 286,726.80, 430,284.60 and 186,643.20 is: 280,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,726.80 : 430,284.60 = 186,643.20 : x
  2. Step 2: Convert to fraction form
    286,726.80/430,284.60 = 186,643.20/x
  3. Step 3: Cross multiply
    286,726.80x = 430,284.60 × 186,643.20
  4. Step 4: Simplify right side
    286,726.80x = 80,309,694,654.72
  5. Step 5: Solve for x
    x = 80,309,694,654.72/286,726.80
  6. Step 6: Final answer
    x = 280,091.34

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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.