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Finding the Fourth Proportional to 643,580.46, 965,526.77 and 194,274.49

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Solution

The fourth proportional to 643,580.46, 965,526.77 and 194,274.49 is: 291,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,580.46 : 965,526.77 = 194,274.49 : x
  2. Step 2: Convert to fraction form
    643,580.46/965,526.77 = 194,274.49/x
  3. Step 3: Cross multiply
    643,580.46x = 965,526.77 × 194,274.49
  4. Step 4: Simplify right side
    643,580.46x = 187,577,220,823.10
  5. Step 5: Solve for x
    x = 187,577,220,823.10/643,580.46
  6. Step 6: Final answer
    x = 291,458.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.