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Finding the Fourth Proportional to 289,164.59, 399,059.61 and 160,103.07

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Solution

The fourth proportional to 289,164.59, 399,059.61 and 160,103.07 is: 220,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,164.59 : 399,059.61 = 160,103.07 : x
  2. Step 2: Convert to fraction form
    289,164.59/399,059.61 = 160,103.07/x
  3. Step 3: Cross multiply
    289,164.59x = 399,059.61 × 160,103.07
  4. Step 4: Simplify right side
    289,164.59x = 63,890,668,674.00
  5. Step 5: Solve for x
    x = 63,890,668,674.00/289,164.59
  6. Step 6: Final answer
    x = 220,949.14

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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.