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Finding the Fourth Proportional to 289,435.92, 433,921.98 and 137,556.72

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Solution

The fourth proportional to 289,435.92, 433,921.98 and 137,556.72 is: 206,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,435.92 : 433,921.98 = 137,556.72 : x
  2. Step 2: Convert to fraction form
    289,435.92/433,921.98 = 137,556.72/x
  3. Step 3: Cross multiply
    289,435.92x = 433,921.98 × 137,556.72
  4. Step 4: Simplify right side
    289,435.92x = 59,688,884,304.71
  5. Step 5: Solve for x
    x = 59,688,884,304.71/289,435.92
  6. Step 6: Final answer
    x = 206,224.87

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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.