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Finding the Fourth Proportional to 289,357.87, 399,313.81 and 160,304.73

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Solution

The fourth proportional to 289,357.87, 399,313.81 and 160,304.73 is: 221,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,357.87 : 399,313.81 = 160,304.73 : x
  2. Step 2: Convert to fraction form
    289,357.87/399,313.81 = 160,304.73/x
  3. Step 3: Cross multiply
    289,357.87x = 399,313.81 × 160,304.73
  4. Step 4: Simplify right side
    289,357.87x = 64,011,891,695.80
  5. Step 5: Solve for x
    x = 64,011,891,695.80/289,357.87
  6. Step 6: Final answer
    x = 221,220.50

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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.