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Finding the Fourth Proportional to 511,501, 767,362.26 and 195,957.92

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Solution

The fourth proportional to 511,501, 767,362.26 and 195,957.92 is: 293,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,501 : 767,362.26 = 195,957.92 : x
  2. Step 2: Convert to fraction form
    511,501/767,362.26 = 195,957.92/x
  3. Step 3: Cross multiply
    511,501x = 767,362.26 × 195,957.92
  4. Step 4: Simplify right side
    511,501x = 150,370,712,356.10
  5. Step 5: Solve for x
    x = 150,370,712,356.10/511,501
  6. Step 6: Final answer
    x = 293,979.31

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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.