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Finding the Fourth Proportional to 299,458.40, 413,153.40 and 197,534.48

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Solution

The fourth proportional to 299,458.40, 413,153.40 and 197,534.48 is: 272,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,458.40 : 413,153.40 = 197,534.48 : x
  2. Step 2: Convert to fraction form
    299,458.40/413,153.40 = 197,534.48/x
  3. Step 3: Cross multiply
    299,458.40x = 413,153.40 × 197,534.48
  4. Step 4: Simplify right side
    299,458.40x = 81,612,042,029.23
  5. Step 5: Solve for x
    x = 81,612,042,029.23/299,458.40
  6. Step 6: Final answer
    x = 272,532.15

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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.