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Finding the Fourth Proportional to 285,127, 393,475.26 and 165,895

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Solution

The fourth proportional to 285,127, 393,475.26 and 165,895 is: 228,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,127 : 393,475.26 = 165,895 : x
  2. Step 2: Convert to fraction form
    285,127/393,475.26 = 165,895/x
  3. Step 3: Cross multiply
    285,127x = 393,475.26 × 165,895
  4. Step 4: Simplify right side
    285,127x = 65,275,578,257.70
  5. Step 5: Solve for x
    x = 65,275,578,257.70/285,127
  6. Step 6: Final answer
    x = 228,935.10

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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.