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Finding the Fourth Proportional to 289,059.69, 398,902.92 and 160,007.10

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Solution

The fourth proportional to 289,059.69, 398,902.92 and 160,007.10 is: 220,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,059.69 : 398,902.92 = 160,007.10 : x
  2. Step 2: Convert to fraction form
    289,059.69/398,902.92 = 160,007.10/x
  3. Step 3: Cross multiply
    289,059.69x = 398,902.92 × 160,007.10
  4. Step 4: Simplify right side
    289,059.69x = 63,827,299,410.73
  5. Step 5: Solve for x
    x = 63,827,299,410.73/289,059.69
  6. Step 6: Final answer
    x = 220,810.10

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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.