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Finding the Fourth Proportional to 465,290.36, 642,055.34 and 261,294.90

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Solution

The fourth proportional to 465,290.36, 642,055.34 and 261,294.90 is: 360,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,290.36 : 642,055.34 = 261,294.90 : x
  2. Step 2: Convert to fraction form
    465,290.36/642,055.34 = 261,294.90/x
  3. Step 3: Cross multiply
    465,290.36x = 642,055.34 × 261,294.90
  4. Step 4: Simplify right side
    465,290.36x = 167,765,785,859.77
  5. Step 5: Solve for x
    x = 167,765,785,859.77/465,290.36
  6. Step 6: Final answer
    x = 360,561.49

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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.