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Finding the Fourth Proportional to 565,767.28, 780,536.10 and 323,919.64

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Solution

The fourth proportional to 565,767.28, 780,536.10 and 323,919.64 is: 446,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,767.28 : 780,536.10 = 323,919.64 : x
  2. Step 2: Convert to fraction form
    565,767.28/780,536.10 = 323,919.64/x
  3. Step 3: Cross multiply
    565,767.28x = 780,536.10 × 323,919.64
  4. Step 4: Simplify right side
    565,767.28x = 252,830,972,519.00
  5. Step 5: Solve for x
    x = 252,830,972,519.00/565,767.28
  6. Step 6: Final answer
    x = 446,881.57

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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.