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Finding the Fourth Proportional to 458,526.50, 632,824.89 and 257,322.50

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Solution

The fourth proportional to 458,526.50, 632,824.89 and 257,322.50 is: 355,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,526.50 : 632,824.89 = 257,322.50 : x
  2. Step 2: Convert to fraction form
    458,526.50/632,824.89 = 257,322.50/x
  3. Step 3: Cross multiply
    458,526.50x = 632,824.89 × 257,322.50
  4. Step 4: Simplify right side
    458,526.50x = 162,840,082,757.03
  5. Step 5: Solve for x
    x = 162,840,082,757.03/458,526.50
  6. Step 6: Final answer
    x = 355,137.78

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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.