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Finding the Fourth Proportional to 289,715.10, 389,871.23 and 289,715.10

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Solution

The fourth proportional to 289,715.10, 389,871.23 and 289,715.10 is: 389,871.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,715.10 : 389,871.23 = 289,715.10 : x
  2. Step 2: Convert to fraction form
    289,715.10/389,871.23 = 289,715.10/x
  3. Step 3: Cross multiply
    289,715.10x = 389,871.23 × 289,715.10
  4. Step 4: Simplify right side
    289,715.10x = 112,951,580,938.00
  5. Step 5: Solve for x
    x = 112,951,580,938.00/289,715.10
  6. Step 6: Final answer
    x = 389,871.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.