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Finding the Fourth Proportional to 215,319,009.70, 322,978,514.55 and 215,319,009.70

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Solution

The fourth proportional to 215,319,009.70, 322,978,514.55 and 215,319,009.70 is: 322,978,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,319,009.70 : 322,978,514.55 = 215,319,009.70 : x
  2. Step 2: Convert to fraction form
    215,319,009.70/322,978,514.55 = 215,319,009.70/x
  3. Step 3: Cross multiply
    215,319,009.70x = 322,978,514.55 × 215,319,009.70
  4. Step 4: Simplify right side
    215,319,009.70x = 69,543,413,907,283,040
  5. Step 5: Solve for x
    x = 69,543,413,907,283,040/215,319,009.70
  6. Step 6: Final answer
    x = 322,978,514.55

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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.