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Finding the Fourth Proportional to 355,138.80, 532,254.60 and 144,538.80

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Solution

The fourth proportional to 355,138.80, 532,254.60 and 144,538.80 is: 216,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,138.80 : 532,254.60 = 144,538.80 : x
  2. Step 2: Convert to fraction form
    355,138.80/532,254.60 = 144,538.80/x
  3. Step 3: Cross multiply
    355,138.80x = 532,254.60 × 144,538.80
  4. Step 4: Simplify right side
    355,138.80x = 76,931,441,178.48
  5. Step 5: Solve for x
    x = 76,931,441,178.48/355,138.80
  6. Step 6: Final answer
    x = 216,623.59

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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.