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Finding the Fourth Proportional to 355,922.40, 534,013.20 and 145,711.20

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Solution

The fourth proportional to 355,922.40, 534,013.20 and 145,711.20 is: 218,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,922.40 : 534,013.20 = 145,711.20 : x
  2. Step 2: Convert to fraction form
    355,922.40/534,013.20 = 145,711.20/x
  3. Step 3: Cross multiply
    355,922.40x = 534,013.20 × 145,711.20
  4. Step 4: Simplify right side
    355,922.40x = 77,811,704,187.84
  5. Step 5: Solve for x
    x = 77,811,704,187.84/355,922.40
  6. Step 6: Final answer
    x = 218,619.86

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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.