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Finding the Fourth Proportional to 389,424.96, 583,544.52 and 289,114.56

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Solution

The fourth proportional to 389,424.96, 583,544.52 and 289,114.56 is: 433,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,424.96 : 583,544.52 = 289,114.56 : x
  2. Step 2: Convert to fraction form
    389,424.96/583,544.52 = 289,114.56/x
  3. Step 3: Cross multiply
    389,424.96x = 583,544.52 × 289,114.56
  4. Step 4: Simplify right side
    389,424.96x = 168,711,217,140.21
  5. Step 5: Solve for x
    x = 168,711,217,140.21/389,424.96
  6. Step 6: Final answer
    x = 433,231.65

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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.