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Finding the Fourth Proportional to 516,656.25, 774,995.06 and 188,009.80

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Solution

The fourth proportional to 516,656.25, 774,995.06 and 188,009.80 is: 282,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,656.25 : 774,995.06 = 188,009.80 : x
  2. Step 2: Convert to fraction form
    516,656.25/774,995.06 = 188,009.80/x
  3. Step 3: Cross multiply
    516,656.25x = 774,995.06 × 188,009.80
  4. Step 4: Simplify right side
    516,656.25x = 145,706,664,764.13
  5. Step 5: Solve for x
    x = 145,706,664,764.13/516,656.25
  6. Step 6: Final answer
    x = 282,018.59

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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.