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Finding the Fourth Proportional to 465,314.88, 642,120.50 and 258,582.56

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Solution

The fourth proportional to 465,314.88, 642,120.50 and 258,582.56 is: 356,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,314.88 : 642,120.50 = 258,582.56 : x
  2. Step 2: Convert to fraction form
    465,314.88/642,120.50 = 258,582.56/x
  3. Step 3: Cross multiply
    465,314.88x = 642,120.50 × 258,582.56
  4. Step 4: Simplify right side
    465,314.88x = 166,041,162,718.48
  5. Step 5: Solve for x
    x = 166,041,162,718.48/465,314.88
  6. Step 6: Final answer
    x = 356,836.13

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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.