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Finding the Fourth Proportional to 285,157.94, 393,616.33 and 164,347.38

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Solution

The fourth proportional to 285,157.94, 393,616.33 and 164,347.38 is: 226,856.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,157.94 : 393,616.33 = 164,347.38 : x
  2. Step 2: Convert to fraction form
    285,157.94/393,616.33 = 164,347.38/x
  3. Step 3: Cross multiply
    285,157.94x = 393,616.33 × 164,347.38
  4. Step 4: Simplify right side
    285,157.94x = 64,689,812,149.85
  5. Step 5: Solve for x
    x = 64,689,812,149.85/285,157.94
  6. Step 6: Final answer
    x = 226,856.08

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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.