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Finding the Fourth Proportional to 470,657.86, 649,512.90 and 255,797.95

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Solution

The fourth proportional to 470,657.86, 649,512.90 and 255,797.95 is: 353,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,657.86 : 649,512.90 = 255,797.95 : x
  2. Step 2: Convert to fraction form
    470,657.86/649,512.90 = 255,797.95/x
  3. Step 3: Cross multiply
    470,657.86x = 649,512.90 × 255,797.95
  4. Step 4: Simplify right side
    470,657.86x = 166,144,068,318.56
  5. Step 5: Solve for x
    x = 166,144,068,318.56/470,657.86
  6. Step 6: Final answer
    x = 353,003.92

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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.