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Finding the Fourth Proportional to 340,776.86, 470,352.24 and 211,812.75

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Solution

The fourth proportional to 340,776.86, 470,352.24 and 211,812.75 is: 292,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,776.86 : 470,352.24 = 211,812.75 : x
  2. Step 2: Convert to fraction form
    340,776.86/470,352.24 = 211,812.75/x
  3. Step 3: Cross multiply
    340,776.86x = 470,352.24 × 211,812.75
  4. Step 4: Simplify right side
    340,776.86x = 99,626,601,423.06
  5. Step 5: Solve for x
    x = 99,626,601,423.06/340,776.86
  6. Step 6: Final answer
    x = 292,351.43

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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.