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Finding the Fourth Proportional to 242,823.20, 364,234.80 and 217,235.30

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Solution

The fourth proportional to 242,823.20, 364,234.80 and 217,235.30 is: 325,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,823.20 : 364,234.80 = 217,235.30 : x
  2. Step 2: Convert to fraction form
    242,823.20/364,234.80 = 217,235.30/x
  3. Step 3: Cross multiply
    242,823.20x = 364,234.80 × 217,235.30
  4. Step 4: Simplify right side
    242,823.20x = 79,124,656,048.44
  5. Step 5: Solve for x
    x = 79,124,656,048.44/242,823.20
  6. Step 6: Final answer
    x = 325,852.95

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1.5x scale

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.