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Finding the Fourth Proportional to 289,463.22, 434,365.74 and 161,487

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Solution

The fourth proportional to 289,463.22, 434,365.74 and 161,487 is: 242,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,463.22 : 434,365.74 = 161,487 : x
  2. Step 2: Convert to fraction form
    289,463.22/434,365.74 = 161,487/x
  3. Step 3: Cross multiply
    289,463.22x = 434,365.74 × 161,487
  4. Step 4: Simplify right side
    289,463.22x = 70,144,420,255.38
  5. Step 5: Solve for x
    x = 70,144,420,255.38/289,463.22
  6. Step 6: Final answer
    x = 242,325.85

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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.