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Finding the Fourth Proportional to 465,938.70, 643,048.34 and 259,227.54

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Solution

The fourth proportional to 465,938.70, 643,048.34 and 259,227.54 is: 357,763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,938.70 : 643,048.34 = 259,227.54 : x
  2. Step 2: Convert to fraction form
    465,938.70/643,048.34 = 259,227.54/x
  3. Step 3: Cross multiply
    465,938.70x = 643,048.34 × 259,227.54
  4. Step 4: Simplify right side
    465,938.70x = 166,695,837,983.15
  5. Step 5: Solve for x
    x = 166,695,837,983.15/465,938.70
  6. Step 6: Final answer
    x = 357,763.46

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