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Finding the Fourth Proportional to 340,718.38, 470,201.08 and 189,825.10

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Solution

The fourth proportional to 340,718.38, 470,201.08 and 189,825.10 is: 261,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,718.38 : 470,201.08 = 189,825.10 : x
  2. Step 2: Convert to fraction form
    340,718.38/470,201.08 = 189,825.10/x
  3. Step 3: Cross multiply
    340,718.38x = 470,201.08 × 189,825.10
  4. Step 4: Simplify right side
    340,718.38x = 89,255,967,031.11
  5. Step 5: Solve for x
    x = 89,255,967,031.11/340,718.38
  6. Step 6: Final answer
    x = 261,964.05

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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.