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Finding the Fourth Proportional to 609,838.56, 915,595.64 and 310,520.16

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Solution

The fourth proportional to 609,838.56, 915,595.64 and 310,520.16 is: 466,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,838.56 : 915,595.64 = 310,520.16 : x
  2. Step 2: Convert to fraction form
    609,838.56/915,595.64 = 310,520.16/x
  3. Step 3: Cross multiply
    609,838.56x = 915,595.64 × 310,520.16
  4. Step 4: Simplify right side
    609,838.56x = 284,310,904,628.10
  5. Step 5: Solve for x
    x = 284,310,904,628.10/609,838.56
  6. Step 6: Final answer
    x = 466,206.83

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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.