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Finding the Fourth Proportional to 299,491.90, 413,295.69 and 163,525.45

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Solution

The fourth proportional to 299,491.90, 413,295.69 and 163,525.45 is: 225,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,491.90 : 413,295.69 = 163,525.45 : x
  2. Step 2: Convert to fraction form
    299,491.90/413,295.69 = 163,525.45/x
  3. Step 3: Cross multiply
    299,491.90x = 413,295.69 × 163,525.45
  4. Step 4: Simplify right side
    299,491.90x = 67,584,363,690.31
  5. Step 5: Solve for x
    x = 67,584,363,690.31/299,491.90
  6. Step 6: Final answer
    x = 225,663.41

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1.5x scale

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.