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Finding the Fourth Proportional to 340,874.42, 470,422.77 and 189,972.50

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Solution

The fourth proportional to 340,874.42, 470,422.77 and 189,972.50 is: 262,171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,874.42 : 470,422.77 = 189,972.50 : x
  2. Step 2: Convert to fraction form
    340,874.42/470,422.77 = 189,972.50/x
  3. Step 3: Cross multiply
    340,874.42x = 470,422.77 × 189,972.50
  4. Step 4: Simplify right side
    340,874.42x = 89,367,389,673.83
  5. Step 5: Solve for x
    x = 89,367,389,673.83/340,874.42
  6. Step 6: Final answer
    x = 262,171.01

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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.