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Finding the Fourth Proportional to 609,144.86, 913,678.38 and 188,385.50

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Solution

The fourth proportional to 609,144.86, 913,678.38 and 188,385.50 is: 282,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,144.86 : 913,678.38 = 188,385.50 : x
  2. Step 2: Convert to fraction form
    609,144.86/913,678.38 = 188,385.50/x
  3. Step 3: Cross multiply
    609,144.86x = 913,678.38 × 188,385.50
  4. Step 4: Simplify right side
    609,144.86x = 172,123,758,455.49
  5. Step 5: Solve for x
    x = 172,123,758,455.49/609,144.86
  6. Step 6: Final answer
    x = 282,566.22

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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.