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Finding the Fourth Proportional to 501,369.17, 691,665.53 and 297,428.67

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Solution

The fourth proportional to 501,369.17, 691,665.53 and 297,428.67 is: 410,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,369.17 : 691,665.53 = 297,428.67 : x
  2. Step 2: Convert to fraction form
    501,369.17/691,665.53 = 297,428.67/x
  3. Step 3: Cross multiply
    501,369.17x = 691,665.53 × 297,428.67
  4. Step 4: Simplify right side
    501,369.17x = 205,721,157,185.60
  5. Step 5: Solve for x
    x = 205,721,157,185.60/501,369.17
  6. Step 6: Final answer
    x = 410,318.73

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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.