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Finding the Fourth Proportional to 511,509.87, 767,028.02 and 191,424.33

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Solution

The fourth proportional to 511,509.87, 767,028.02 and 191,424.33 is: 287,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,509.87 : 767,028.02 = 191,424.33 : x
  2. Step 2: Convert to fraction form
    511,509.87/767,028.02 = 191,424.33/x
  3. Step 3: Cross multiply
    511,509.87x = 767,028.02 × 191,424.33
  4. Step 4: Simplify right side
    511,509.87x = 146,827,823,862.61
  5. Step 5: Solve for x
    x = 146,827,823,862.61/511,509.87
  6. Step 6: Final answer
    x = 287,047.88

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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.