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Finding the Fourth Proportional to 289,056.65, 433,679.27 and 129,113.10

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Solution

The fourth proportional to 289,056.65, 433,679.27 and 129,113.10 is: 193,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,056.65 : 433,679.27 = 129,113.10 : x
  2. Step 2: Convert to fraction form
    289,056.65/433,679.27 = 129,113.10/x
  3. Step 3: Cross multiply
    289,056.65x = 433,679.27 × 129,113.10
  4. Step 4: Simplify right side
    289,056.65x = 55,993,674,309.87
  5. Step 5: Solve for x
    x = 55,993,674,309.87/289,056.65
  6. Step 6: Final answer
    x = 193,711.77

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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.