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Finding the Fourth Proportional to 289,381.20, 434,014.20 and 139,621.20

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Solution

The fourth proportional to 289,381.20, 434,014.20 and 139,621.20 is: 209,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,381.20 : 434,014.20 = 139,621.20 : x
  2. Step 2: Convert to fraction form
    289,381.20/434,014.20 = 139,621.20/x
  3. Step 3: Cross multiply
    289,381.20x = 434,014.20 × 139,621.20
  4. Step 4: Simplify right side
    289,381.20x = 60,597,583,421.04
  5. Step 5: Solve for x
    x = 60,597,583,421.04/289,381.20
  6. Step 6: Final answer
    x = 209,404.01

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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.