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Finding the Fourth Proportional to 346,857.70, 520,034.22 and 234,258.78

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Solution

The fourth proportional to 346,857.70, 520,034.22 and 234,258.78 is: 351,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,857.70 : 520,034.22 = 234,258.78 : x
  2. Step 2: Convert to fraction form
    346,857.70/520,034.22 = 234,258.78/x
  3. Step 3: Cross multiply
    346,857.70x = 520,034.22 × 234,258.78
  4. Step 4: Simplify right side
    346,857.70x = 121,822,581,935.45
  5. Step 5: Solve for x
    x = 121,822,581,935.45/346,857.70
  6. Step 6: Final answer
    x = 351,217.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.