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Finding the Fourth Proportional to 285,414.40, 393,870.90 and 164,555.02

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Solution

The fourth proportional to 285,414.40, 393,870.90 and 164,555.02 is: 227,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,414.40 : 393,870.90 = 164,555.02 : x
  2. Step 2: Convert to fraction form
    285,414.40/393,870.90 = 164,555.02/x
  3. Step 3: Cross multiply
    285,414.40x = 393,870.90 × 164,555.02
  4. Step 4: Simplify right side
    285,414.40x = 64,813,433,826.92
  5. Step 5: Solve for x
    x = 64,813,433,826.92/285,414.40
  6. Step 6: Final answer
    x = 227,085.37

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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.