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Finding the Fourth Proportional to 470,811.86, 649,712.71 and 255,957.29

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Solution

The fourth proportional to 470,811.86, 649,712.71 and 255,957.29 is: 353,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,811.86 : 649,712.71 = 255,957.29 : x
  2. Step 2: Convert to fraction form
    470,811.86/649,712.71 = 255,957.29/x
  3. Step 3: Cross multiply
    470,811.86x = 649,712.71 × 255,957.29
  4. Step 4: Simplify right side
    470,811.86x = 166,298,704,530.16
  5. Step 5: Solve for x
    x = 166,298,704,530.16/470,811.86
  6. Step 6: Final answer
    x = 353,216.90

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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.