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Finding the Fourth Proportional to 253,339.16, 380,008.36 and 101,604.68

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Solution

The fourth proportional to 253,339.16, 380,008.36 and 101,604.68 is: 152,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,339.16 : 380,008.36 = 101,604.68 : x
  2. Step 2: Convert to fraction form
    253,339.16/380,008.36 = 101,604.68/x
  3. Step 3: Cross multiply
    253,339.16x = 380,008.36 × 101,604.68
  4. Step 4: Simplify right side
    253,339.16x = 38,610,627,815.12
  5. Step 5: Solve for x
    x = 38,610,627,815.12/253,339.16
  6. Step 6: Final answer
    x = 152,406.87

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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.