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Finding the Fourth Proportional to 564,234.02, 778,640.54 and 309,579.74

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Solution

The fourth proportional to 564,234.02, 778,640.54 and 309,579.74 is: 427,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,234.02 : 778,640.54 = 309,579.74 : x
  2. Step 2: Convert to fraction form
    564,234.02/778,640.54 = 309,579.74/x
  3. Step 3: Cross multiply
    564,234.02x = 778,640.54 × 309,579.74
  4. Step 4: Simplify right side
    564,234.02x = 241,051,330,485.56
  5. Step 5: Solve for x
    x = 241,051,330,485.56/564,234.02
  6. Step 6: Final answer
    x = 427,218.71

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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.