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Finding the Fourth Proportional to 361,970.25, 499,532.30 and 218,702.61

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Solution

The fourth proportional to 361,970.25, 499,532.30 and 218,702.61 is: 301,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,970.25 : 499,532.30 = 218,702.61 : x
  2. Step 2: Convert to fraction form
    361,970.25/499,532.30 = 218,702.61/x
  3. Step 3: Cross multiply
    361,970.25x = 499,532.30 × 218,702.61
  4. Step 4: Simplify right side
    361,970.25x = 109,249,016,695.79
  5. Step 5: Solve for x
    x = 109,249,016,695.79/361,970.25
  6. Step 6: Final answer
    x = 301,817.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.