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Finding the Fourth Proportional to 289,674.68, 434,632.05 and 156,398.27

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Solution

The fourth proportional to 289,674.68, 434,632.05 and 156,398.27 is: 234,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,674.68 : 434,632.05 = 156,398.27 : x
  2. Step 2: Convert to fraction form
    289,674.68/434,632.05 = 156,398.27/x
  3. Step 3: Cross multiply
    289,674.68x = 434,632.05 × 156,398.27
  4. Step 4: Simplify right side
    289,674.68x = 67,975,700,706.55
  5. Step 5: Solve for x
    x = 67,975,700,706.55/289,674.68
  6. Step 6: Final answer
    x = 234,662.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.