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Finding the Fourth Proportional to 458,568, 632,823.84 and 257,364

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Solution

The fourth proportional to 458,568, 632,823.84 and 257,364 is: 355,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,568 : 632,823.84 = 257,364 : x
  2. Step 2: Convert to fraction form
    458,568/632,823.84 = 257,364/x
  3. Step 3: Cross multiply
    458,568x = 632,823.84 × 257,364
  4. Step 4: Simplify right side
    458,568x = 162,866,074,757.76
  5. Step 5: Solve for x
    x = 162,866,074,757.76/458,568
  6. Step 6: Final answer
    x = 355,162.32

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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.