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Finding the Fourth Proportional to 436,882.54, 655,411.32 and 137,438.50

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Solution

The fourth proportional to 436,882.54, 655,411.32 and 137,438.50 is: 206,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,882.54 : 655,411.32 = 137,438.50 : x
  2. Step 2: Convert to fraction form
    436,882.54/655,411.32 = 137,438.50/x
  3. Step 3: Cross multiply
    436,882.54x = 655,411.32 × 137,438.50
  4. Step 4: Simplify right side
    436,882.54x = 90,078,748,703.82
  5. Step 5: Solve for x
    x = 90,078,748,703.82/436,882.54
  6. Step 6: Final answer
    x = 206,185.28

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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.