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Finding the Fourth Proportional to 338,907.20, 508,364.40 and 102,251.93

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Solution

The fourth proportional to 338,907.20, 508,364.40 and 102,251.93 is: 153,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,907.20 : 508,364.40 = 102,251.93 : x
  2. Step 2: Convert to fraction form
    338,907.20/508,364.40 = 102,251.93/x
  3. Step 3: Cross multiply
    338,907.20x = 508,364.40 × 102,251.93
  4. Step 4: Simplify right side
    338,907.20x = 51,981,241,043.29
  5. Step 5: Solve for x
    x = 51,981,241,043.29/338,907.20
  6. Step 6: Final answer
    x = 153,378.98

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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.