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Finding the Fourth Proportional to 565,418.52, 780,322.14 and 323,777.16

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Solution

The fourth proportional to 565,418.52, 780,322.14 and 323,777.16 is: 446,838.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,418.52 : 780,322.14 = 323,777.16 : x
  2. Step 2: Convert to fraction form
    565,418.52/780,322.14 = 323,777.16/x
  3. Step 3: Cross multiply
    565,418.52x = 780,322.14 × 323,777.16
  4. Step 4: Simplify right side
    565,418.52x = 252,650,486,374.32
  5. Step 5: Solve for x
    x = 252,650,486,374.32/565,418.52
  6. Step 6: Final answer
    x = 446,838.01

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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.