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Finding the Fourth Proportional to 335,067,390.40, 502,978,999.20 and 258,728,843.20

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Solution

The fourth proportional to 335,067,390.40, 502,978,999.20 and 258,728,843.20 is: 388,385,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,067,390.40 : 502,978,999.20 = 258,728,843.20 : x
  2. Step 2: Convert to fraction form
    335,067,390.40/502,978,999.20 = 258,728,843.20/x
  3. Step 3: Cross multiply
    335,067,390.40x = 502,978,999.20 × 258,728,843.20
  4. Step 4: Simplify right side
    335,067,390.40x = 130,135,174,616,909,712
  5. Step 5: Solve for x
    x = 130,135,174,616,909,712/335,067,390.40
  6. Step 6: Final answer
    x = 388,385,078.18

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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.