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Finding the Fourth Proportional to 560,856.75, 773,978.31 and 306,207.93

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Solution

The fourth proportional to 560,856.75, 773,978.31 and 306,207.93 is: 422,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,856.75 : 773,978.31 = 306,207.93 : x
  2. Step 2: Convert to fraction form
    560,856.75/773,978.31 = 306,207.93/x
  3. Step 3: Cross multiply
    560,856.75x = 773,978.31 × 306,207.93
  4. Step 4: Simplify right side
    560,856.75x = 236,998,296,170.00
  5. Step 5: Solve for x
    x = 236,998,296,170.00/560,856.75
  6. Step 6: Final answer
    x = 422,564.76

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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.