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Finding the Fourth Proportional to 460,434.36, 635,497.40 and 309,443.88

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Solution

The fourth proportional to 460,434.36, 635,497.40 and 309,443.88 is: 427,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,434.36 : 635,497.40 = 309,443.88 : x
  2. Step 2: Convert to fraction form
    460,434.36/635,497.40 = 309,443.88/x
  3. Step 3: Cross multiply
    460,434.36x = 635,497.40 × 309,443.88
  4. Step 4: Simplify right side
    460,434.36x = 196,650,781,185.91
  5. Step 5: Solve for x
    x = 196,650,781,185.91/460,434.36
  6. Step 6: Final answer
    x = 427,098.41

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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.