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Finding the Fourth Proportional to 565,494.52, 780,384.02 and 323,780.80

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Solution

The fourth proportional to 565,494.52, 780,384.02 and 323,780.80 is: 446,818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,494.52 : 780,384.02 = 323,780.80 : x
  2. Step 2: Convert to fraction form
    565,494.52/780,384.02 = 323,780.80/x
  3. Step 3: Cross multiply
    565,494.52x = 780,384.02 × 323,780.80
  4. Step 4: Simplify right side
    565,494.52x = 252,673,362,302.82
  5. Step 5: Solve for x
    x = 252,673,362,302.82/565,494.52
  6. Step 6: Final answer
    x = 446,818.41

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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.