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Finding the Fourth Proportional to 565,275.71, 780,147.86 and 323,635.91

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Solution

The fourth proportional to 565,275.71, 780,147.86 and 323,635.91 is: 446,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,275.71 : 780,147.86 = 323,635.91 : x
  2. Step 2: Convert to fraction form
    565,275.71/780,147.86 = 323,635.91/x
  3. Step 3: Cross multiply
    565,275.71x = 780,147.86 × 323,635.91
  4. Step 4: Simplify right side
    565,275.71x = 252,483,857,086.73
  5. Step 5: Solve for x
    x = 252,483,857,086.73/565,275.71
  6. Step 6: Final answer
    x = 446,656.12

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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.