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Finding the Fourth Proportional to 285,338.88, 393,854.94 and 164,560.68

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Solution

The fourth proportional to 285,338.88, 393,854.94 and 164,560.68 is: 227,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,338.88 : 393,854.94 = 164,560.68 : x
  2. Step 2: Convert to fraction form
    285,338.88/393,854.94 = 164,560.68/x
  3. Step 3: Cross multiply
    285,338.88x = 393,854.94 × 164,560.68
  4. Step 4: Simplify right side
    285,338.88x = 64,813,036,747.76
  5. Step 5: Solve for x
    x = 64,813,036,747.76/285,338.88
  6. Step 6: Final answer
    x = 227,144.08

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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.