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Finding the Fourth Proportional to 436,906.10, 655,516.95 and 152,638.63

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Solution

The fourth proportional to 436,906.10, 655,516.95 and 152,638.63 is: 229,013.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,906.10 : 655,516.95 = 152,638.63 : x
  2. Step 2: Convert to fraction form
    436,906.10/655,516.95 = 152,638.63/x
  3. Step 3: Cross multiply
    436,906.10x = 655,516.95 × 152,638.63
  4. Step 4: Simplify right side
    436,906.10x = 100,057,207,837.18
  5. Step 5: Solve for x
    x = 100,057,207,837.18/436,906.10
  6. Step 6: Final answer
    x = 229,013.07

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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.