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Finding the Fourth Proportional to 381,810.20, 572,715.30 and 242,187.80

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Solution

The fourth proportional to 381,810.20, 572,715.30 and 242,187.80 is: 363,281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,810.20 : 572,715.30 = 242,187.80 : x
  2. Step 2: Convert to fraction form
    381,810.20/572,715.30 = 242,187.80/x
  3. Step 3: Cross multiply
    381,810.20x = 572,715.30 × 242,187.80
  4. Step 4: Simplify right side
    381,810.20x = 138,704,658,533.34
  5. Step 5: Solve for x
    x = 138,704,658,533.34/381,810.20
  6. Step 6: Final answer
    x = 363,281.70

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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.