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Finding the Fourth Proportional to 465,290.87, 642,056.03 and 261,295.40

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Solution

The fourth proportional to 465,290.87, 642,056.03 and 261,295.40 is: 360,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,290.87 : 642,056.03 = 261,295.40 : x
  2. Step 2: Convert to fraction form
    465,290.87/642,056.03 = 261,295.40/x
  3. Step 3: Cross multiply
    465,290.87x = 642,056.03 × 261,295.40
  4. Step 4: Simplify right side
    465,290.87x = 167,766,282,664.51
  5. Step 5: Solve for x
    x = 167,766,282,664.51/465,290.87
  6. Step 6: Final answer
    x = 360,562.17

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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.