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Finding the Fourth Proportional to 355,409.20, 532,919.40 and 144,809.20

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Solution

The fourth proportional to 355,409.20, 532,919.40 and 144,809.20 is: 217,134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,409.20 : 532,919.40 = 144,809.20 : x
  2. Step 2: Convert to fraction form
    355,409.20/532,919.40 = 144,809.20/x
  3. Step 3: Cross multiply
    355,409.20x = 532,919.40 × 144,809.20
  4. Step 4: Simplify right side
    355,409.20x = 77,171,631,978.48
  5. Step 5: Solve for x
    x = 77,171,631,978.48/355,409.20
  6. Step 6: Final answer
    x = 217,134.59

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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.