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Finding the Fourth Proportional to 559,657.89, 772,324.96 and 305,006.85

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Solution

The fourth proportional to 559,657.89, 772,324.96 and 305,006.85 is: 420,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,657.89 : 772,324.96 = 305,006.85 : x
  2. Step 2: Convert to fraction form
    559,657.89/772,324.96 = 305,006.85/x
  3. Step 3: Cross multiply
    559,657.89x = 772,324.96 × 305,006.85
  4. Step 4: Simplify right side
    559,657.89x = 235,564,403,225.98
  5. Step 5: Solve for x
    x = 235,564,403,225.98/559,657.89
  6. Step 6: Final answer
    x = 420,907.86

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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.