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Finding the Fourth Proportional to 399,094.88, 550,746.04 and 217,809.84

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Solution

The fourth proportional to 399,094.88, 550,746.04 and 217,809.84 is: 300,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,094.88 : 550,746.04 = 217,809.84 : x
  2. Step 2: Convert to fraction form
    399,094.88/550,746.04 = 217,809.84/x
  3. Step 3: Cross multiply
    399,094.88x = 550,746.04 × 217,809.84
  4. Step 4: Simplify right side
    399,094.88x = 119,957,906,853.03
  5. Step 5: Solve for x
    x = 119,957,906,853.03/399,094.88
  6. Step 6: Final answer
    x = 300,574.91

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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.