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Finding the Fourth Proportional to 458,858.37, 633,232.85 and 257,661.57

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Solution

The fourth proportional to 458,858.37, 633,232.85 and 257,661.57 is: 355,577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,858.37 : 633,232.85 = 257,661.57 : x
  2. Step 2: Convert to fraction form
    458,858.37/633,232.85 = 257,661.57/x
  3. Step 3: Cross multiply
    458,858.37x = 633,232.85 × 257,661.57
  4. Step 4: Simplify right side
    458,858.37x = 163,159,769,018.27
  5. Step 5: Solve for x
    x = 163,159,769,018.27/458,858.37
  6. Step 6: Final answer
    x = 355,577.62

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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.