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Finding the Fourth Proportional to 289,000.28, 398,835.42 and 161,678

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Solution

The fourth proportional to 289,000.28, 398,835.42 and 161,678 is: 223,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,000.28 : 398,835.42 = 161,678 : x
  2. Step 2: Convert to fraction form
    289,000.28/398,835.42 = 161,678/x
  3. Step 3: Cross multiply
    289,000.28x = 398,835.42 × 161,678
  4. Step 4: Simplify right side
    289,000.28x = 64,482,913,034.76
  5. Step 5: Solve for x
    x = 64,482,913,034.76/289,000.28
  6. Step 6: Final answer
    x = 223,124.05

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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.