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Finding the Fourth Proportional to 245,429.86, 338,554.82 and 147,288

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Solution

The fourth proportional to 245,429.86, 338,554.82 and 147,288 is: 203,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,429.86 : 338,554.82 = 147,288 : x
  2. Step 2: Convert to fraction form
    245,429.86/338,554.82 = 147,288/x
  3. Step 3: Cross multiply
    245,429.86x = 338,554.82 × 147,288
  4. Step 4: Simplify right side
    245,429.86x = 49,865,062,328.16
  5. Step 5: Solve for x
    x = 49,865,062,328.16/245,429.86
  6. Step 6: Final answer
    x = 203,174.39

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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.