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Finding the Fourth Proportional to 564,334.56, 778,794.48 and 309,701.88

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Solution

The fourth proportional to 564,334.56, 778,794.48 and 309,701.88 is: 427,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,334.56 : 778,794.48 = 309,701.88 : x
  2. Step 2: Convert to fraction form
    564,334.56/778,794.48 = 309,701.88/x
  3. Step 3: Cross multiply
    564,334.56x = 778,794.48 × 309,701.88
  4. Step 4: Simplify right side
    564,334.56x = 241,194,114,589.62
  5. Step 5: Solve for x
    x = 241,194,114,589.62/564,334.56
  6. Step 6: Final answer
    x = 427,395.61

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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.