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Finding the Fourth Proportional to 315,704.10, 435,666.17 and 172,460.46

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Solution

The fourth proportional to 315,704.10, 435,666.17 and 172,460.46 is: 237,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,704.10 : 435,666.17 = 172,460.46 : x
  2. Step 2: Convert to fraction form
    315,704.10/435,666.17 = 172,460.46/x
  3. Step 3: Cross multiply
    315,704.10x = 435,666.17 × 172,460.46
  4. Step 4: Simplify right side
    315,704.10x = 75,135,187,222.34
  5. Step 5: Solve for x
    x = 75,135,187,222.34/315,704.10
  6. Step 6: Final answer
    x = 237,992.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.