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Finding the Fourth Proportional to 386,784.94, 533,772.41 and 217,031.62

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Solution

The fourth proportional to 386,784.94, 533,772.41 and 217,031.62 is: 299,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,784.94 : 533,772.41 = 217,031.62 : x
  2. Step 2: Convert to fraction form
    386,784.94/533,772.41 = 217,031.62/x
  3. Step 3: Cross multiply
    386,784.94x = 533,772.41 × 217,031.62
  4. Step 4: Simplify right side
    386,784.94x = 115,845,490,853.60
  5. Step 5: Solve for x
    x = 115,845,490,853.60/386,784.94
  6. Step 6: Final answer
    x = 299,508.79

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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.