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Finding the Fourth Proportional to 564,224.90, 778,624.26 and 309,576.02

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Solution

The fourth proportional to 564,224.90, 778,624.26 and 309,576.02 is: 427,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,224.90 : 778,624.26 = 309,576.02 : x
  2. Step 2: Convert to fraction form
    564,224.90/778,624.26 = 309,576.02/x
  3. Step 3: Cross multiply
    564,224.90x = 778,624.26 × 309,576.02
  4. Step 4: Simplify right side
    564,224.90x = 241,043,399,486.25
  5. Step 5: Solve for x
    x = 241,043,399,486.25/564,224.90
  6. Step 6: Final answer
    x = 427,211.56

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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.