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Finding the Fourth Proportional to 564,327.48, 778,740.90 and 309,658.56

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Solution

The fourth proportional to 564,327.48, 778,740.90 and 309,658.56 is: 427,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,327.48 : 778,740.90 = 309,658.56 : x
  2. Step 2: Convert to fraction form
    564,327.48/778,740.90 = 309,658.56/x
  3. Step 3: Cross multiply
    564,327.48x = 778,740.90 × 309,658.56
  4. Step 4: Simplify right side
    564,327.48x = 241,143,785,707.10
  5. Step 5: Solve for x
    x = 241,143,785,707.10/564,327.48
  6. Step 6: Final answer
    x = 427,311.79

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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.