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Finding the Fourth Proportional to 234,538, 351,807 and 103,210

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Solution

The fourth proportional to 234,538, 351,807 and 103,210 is: 154,815

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,538 : 351,807 = 103,210 : x
  2. Step 2: Convert to fraction form
    234,538/351,807 = 103,210/x
  3. Step 3: Cross multiply
    234,538x = 351,807 × 103,210
  4. Step 4: Simplify right side
    234,538x = 36,310,000,470
  5. Step 5: Solve for x
    x = 36,310,000,470/234,538
  6. Step 6: Final answer
    x = 154,815

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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.