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Finding the Fourth Proportional to 565,329.31, 780,259.54 and 323,611.88

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Solution

The fourth proportional to 565,329.31, 780,259.54 and 323,611.88 is: 446,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,329.31 : 780,259.54 = 323,611.88 : x
  2. Step 2: Convert to fraction form
    565,329.31/780,259.54 = 323,611.88/x
  3. Step 3: Cross multiply
    565,329.31x = 780,259.54 × 323,611.88
  4. Step 4: Simplify right side
    565,329.31x = 252,501,256,627.34
  5. Step 5: Solve for x
    x = 252,501,256,627.34/565,329.31
  6. Step 6: Final answer
    x = 446,644.55

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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.