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Finding the Fourth Proportional to 511,419, 767,274.30 and 174,534.60

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Solution

The fourth proportional to 511,419, 767,274.30 and 174,534.60 is: 261,851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,419 : 767,274.30 = 174,534.60 : x
  2. Step 2: Convert to fraction form
    511,419/767,274.30 = 174,534.60/x
  3. Step 3: Cross multiply
    511,419x = 767,274.30 × 174,534.60
  4. Step 4: Simplify right side
    511,419x = 133,915,913,040.78
  5. Step 5: Solve for x
    x = 133,915,913,040.78/511,419
  6. Step 6: Final answer
    x = 261,851.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.