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Finding the Fourth Proportional to 354,981.60, 532,213.20 and 144,511.20

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Solution

The fourth proportional to 354,981.60, 532,213.20 and 144,511.20 is: 216,661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,981.60 : 532,213.20 = 144,511.20 : x
  2. Step 2: Convert to fraction form
    354,981.60/532,213.20 = 144,511.20/x
  3. Step 3: Cross multiply
    354,981.60x = 532,213.20 × 144,511.20
  4. Step 4: Simplify right side
    354,981.60x = 76,910,768,187.84
  5. Step 5: Solve for x
    x = 76,910,768,187.84/354,981.60
  6. Step 6: Final answer
    x = 216,661.28

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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.