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Finding the Fourth Proportional to 340,777.86, 470,353.62 and 211,813.75

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Solution

The fourth proportional to 340,777.86, 470,353.62 and 211,813.75 is: 292,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,777.86 : 470,353.62 = 211,813.75 : x
  2. Step 2: Convert to fraction form
    340,777.86/470,353.62 = 211,813.75/x
  3. Step 3: Cross multiply
    340,777.86x = 470,353.62 × 211,813.75
  4. Step 4: Simplify right side
    340,777.86x = 99,627,364,078.28
  5. Step 5: Solve for x
    x = 99,627,364,078.28/340,777.86
  6. Step 6: Final answer
    x = 292,352.81

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1.5x scale

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.