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Finding the Fourth Proportional to 343,810.65, 515,715.98 and 314,261.85

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Solution

The fourth proportional to 343,810.65, 515,715.98 and 314,261.85 is: 471,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,810.65 : 515,715.98 = 314,261.85 : x
  2. Step 2: Convert to fraction form
    343,810.65/515,715.98 = 314,261.85/x
  3. Step 3: Cross multiply
    343,810.65x = 515,715.98 × 314,261.85
  4. Step 4: Simplify right side
    343,810.65x = 162,069,856,378.05
  5. Step 5: Solve for x
    x = 162,069,856,378.05/343,810.65
  6. Step 6: Final answer
    x = 471,392.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.