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Finding the Fourth Proportional to 505,485,065.70, 758,227,598.55 and 423,855,728.10

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Solution

The fourth proportional to 505,485,065.70, 758,227,598.55 and 423,855,728.10 is: 635,783,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,485,065.70 : 758,227,598.55 = 423,855,728.10 : x
  2. Step 2: Convert to fraction form
    505,485,065.70/758,227,598.55 = 423,855,728.10/x
  3. Step 3: Cross multiply
    505,485,065.70x = 758,227,598.55 × 423,855,728.10
  4. Step 4: Simplify right side
    505,485,065.70x = 321,379,110,848,924,736
  5. Step 5: Solve for x
    x = 321,379,110,848,924,736/505,485,065.70
  6. Step 6: Final answer
    x = 635,783,592.15

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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.