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Finding the Fourth Proportional to 565,327.56, 780,181.95 and 320,359.80

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Solution

The fourth proportional to 565,327.56, 780,181.95 and 320,359.80 is: 442,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,327.56 : 780,181.95 = 320,359.80 : x
  2. Step 2: Convert to fraction form
    565,327.56/780,181.95 = 320,359.80/x
  3. Step 3: Cross multiply
    565,327.56x = 780,181.95 × 320,359.80
  4. Step 4: Simplify right side
    565,327.56x = 249,938,933,465.61
  5. Step 5: Solve for x
    x = 249,938,933,465.61/565,327.56
  6. Step 6: Final answer
    x = 442,113.48

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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.