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Finding the Fourth Proportional to 514,298.86, 771,571.46 and 214,612.74

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Solution

The fourth proportional to 514,298.86, 771,571.46 and 214,612.74 is: 321,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,298.86 : 771,571.46 = 214,612.74 : x
  2. Step 2: Convert to fraction form
    514,298.86/771,571.46 = 214,612.74/x
  3. Step 3: Cross multiply
    514,298.86x = 771,571.46 × 214,612.74
  4. Step 4: Simplify right side
    514,298.86x = 165,589,065,672.93
  5. Step 5: Solve for x
    x = 165,589,065,672.93/514,298.86
  6. Step 6: Final answer
    x = 321,970.51

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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.