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Finding the Fourth Proportional to 399,184.16, 550,874.64 and 220,336.16

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Solution

The fourth proportional to 399,184.16, 550,874.64 and 220,336.16 is: 304,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,184.16 : 550,874.64 = 220,336.16 : x
  2. Step 2: Convert to fraction form
    399,184.16/550,874.64 = 220,336.16/x
  3. Step 3: Cross multiply
    399,184.16x = 550,874.64 × 220,336.16
  4. Step 4: Simplify right side
    399,184.16x = 121,377,602,818.98
  5. Step 5: Solve for x
    x = 121,377,602,818.98/399,184.16
  6. Step 6: Final answer
    x = 304,064.18

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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.