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Finding the Fourth Proportional to 285,235.56, 393,595.20 and 164,352.78

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Solution

The fourth proportional to 285,235.56, 393,595.20 and 164,352.78 is: 226,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,235.56 : 393,595.20 = 164,352.78 : x
  2. Step 2: Convert to fraction form
    285,235.56/393,595.20 = 164,352.78/x
  3. Step 3: Cross multiply
    285,235.56x = 393,595.20 × 164,352.78
  4. Step 4: Simplify right side
    285,235.56x = 64,688,465,314.66
  5. Step 5: Solve for x
    x = 64,688,465,314.66/285,235.56
  6. Step 6: Final answer
    x = 226,789.62

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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.