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Finding the Fourth Proportional to 506,447.28, 698,843.90 and 302,469.89

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Solution

The fourth proportional to 506,447.28, 698,843.90 and 302,469.89 is: 417,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,447.28 : 698,843.90 = 302,469.89 : x
  2. Step 2: Convert to fraction form
    506,447.28/698,843.90 = 302,469.89/x
  3. Step 3: Cross multiply
    506,447.28x = 698,843.90 × 302,469.89
  4. Step 4: Simplify right side
    506,447.28x = 211,379,237,560.17
  5. Step 5: Solve for x
    x = 211,379,237,560.17/506,447.28
  6. Step 6: Final answer
    x = 417,376.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.