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Finding the Fourth Proportional to 299,649.90, 413,501.04 and 163,681.88

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Solution

The fourth proportional to 299,649.90, 413,501.04 and 163,681.88 is: 225,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,649.90 : 413,501.04 = 163,681.88 : x
  2. Step 2: Convert to fraction form
    299,649.90/413,501.04 = 163,681.88/x
  3. Step 3: Cross multiply
    299,649.90x = 413,501.04 × 163,681.88
  4. Step 4: Simplify right side
    299,649.90x = 67,682,625,541.65
  5. Step 5: Solve for x
    x = 67,682,625,541.65/299,649.90
  6. Step 6: Final answer
    x = 225,872.34

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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.