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Finding the Fourth Proportional to 511,420, 767,275.80 and 174,535.60

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Solution

The fourth proportional to 511,420, 767,275.80 and 174,535.60 is: 261,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,420 : 767,275.80 = 174,535.60 : x
  2. Step 2: Convert to fraction form
    511,420/767,275.80 = 174,535.60/x
  3. Step 3: Cross multiply
    511,420x = 767,275.80 × 174,535.60
  4. Step 4: Simplify right side
    511,420x = 133,916,942,118.48
  5. Step 5: Solve for x
    x = 133,916,942,118.48/511,420
  6. Step 6: Final answer
    x = 261,853.16

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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.