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Finding the Fourth Proportional to 376,657.60, 564,986.40 and 217,225.30

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Solution

The fourth proportional to 376,657.60, 564,986.40 and 217,225.30 is: 325,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,657.60 : 564,986.40 = 217,225.30 : x
  2. Step 2: Convert to fraction form
    376,657.60/564,986.40 = 217,225.30/x
  3. Step 3: Cross multiply
    376,657.60x = 564,986.40 × 217,225.30
  4. Step 4: Simplify right side
    376,657.60x = 122,729,340,235.92
  5. Step 5: Solve for x
    x = 122,729,340,235.92/376,657.60
  6. Step 6: Final answer
    x = 325,837.95

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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.