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Finding the Fourth Proportional to 565,607.37, 780,534.89 and 320,638.35

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Solution

The fourth proportional to 565,607.37, 780,534.89 and 320,638.35 is: 442,479.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,607.37 : 780,534.89 = 320,638.35 : x
  2. Step 2: Convert to fraction form
    565,607.37/780,534.89 = 320,638.35/x
  3. Step 3: Cross multiply
    565,607.37x = 780,534.89 × 320,638.35
  4. Step 4: Simplify right side
    565,607.37x = 250,269,422,975.63
  5. Step 5: Solve for x
    x = 250,269,422,975.63/565,607.37
  6. Step 6: Final answer
    x = 442,479.07

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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.