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Finding the Fourth Proportional to 266,936,590.80, 400,404,886.20 and 214,980,469.20

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Solution

The fourth proportional to 266,936,590.80, 400,404,886.20 and 214,980,469.20 is: 322,470,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,936,590.80 : 400,404,886.20 = 214,980,469.20 : x
  2. Step 2: Convert to fraction form
    266,936,590.80/400,404,886.20 = 214,980,469.20/x
  3. Step 3: Cross multiply
    266,936,590.80x = 400,404,886.20 × 214,980,469.20
  4. Step 4: Simplify right side
    266,936,590.80x = 86,079,230,305,248,592
  5. Step 5: Solve for x
    x = 86,079,230,305,248,592/266,936,590.80
  6. Step 6: Final answer
    x = 322,470,703.80

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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.