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Finding the Fourth Proportional to 299,567.25, 413,406.12 and 163,605.21

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Solution

The fourth proportional to 299,567.25, 413,406.12 and 163,605.21 is: 225,777.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,567.25 : 413,406.12 = 163,605.21 : x
  2. Step 2: Convert to fraction form
    299,567.25/413,406.12 = 163,605.21/x
  3. Step 3: Cross multiply
    299,567.25x = 413,406.12 × 163,605.21
  4. Step 4: Simplify right side
    299,567.25x = 67,635,395,077.89
  5. Step 5: Solve for x
    x = 67,635,395,077.89/299,567.25
  6. Step 6: Final answer
    x = 225,777.00

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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.