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Finding the Fourth Proportional to 299,359.75, 413,117.01 and 165,223.75

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Solution

The fourth proportional to 299,359.75, 413,117.01 and 165,223.75 is: 228,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,359.75 : 413,117.01 = 165,223.75 : x
  2. Step 2: Convert to fraction form
    299,359.75/413,117.01 = 165,223.75/x
  3. Step 3: Cross multiply
    299,359.75x = 413,117.01 × 165,223.75
  4. Step 4: Simplify right side
    299,359.75x = 68,256,741,580.99
  5. Step 5: Solve for x
    x = 68,256,741,580.99/299,359.75
  6. Step 6: Final answer
    x = 228,009.08

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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.