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Finding the Fourth Proportional to 511,094.51, 765,794.30 and 310,809.05

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Solution

The fourth proportional to 511,094.51, 765,794.30 and 310,809.05 is: 465,698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,094.51 : 765,794.30 = 310,809.05 : x
  2. Step 2: Convert to fraction form
    511,094.51/765,794.30 = 310,809.05/x
  3. Step 3: Cross multiply
    511,094.51x = 765,794.30 × 310,809.05
  4. Step 4: Simplify right side
    511,094.51x = 238,015,798,115.43
  5. Step 5: Solve for x
    x = 238,015,798,115.43/511,094.51
  6. Step 6: Final answer
    x = 465,698.21

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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.