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Finding the Fourth Proportional to 565,568.52, 780,484.56 and 310,919.73

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Solution

The fourth proportional to 565,568.52, 780,484.56 and 310,919.73 is: 429,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,568.52 : 780,484.56 = 310,919.73 : x
  2. Step 2: Convert to fraction form
    565,568.52/780,484.56 = 310,919.73/x
  3. Step 3: Cross multiply
    565,568.52x = 780,484.56 × 310,919.73
  4. Step 4: Simplify right side
    565,568.52x = 242,668,048,664.37
  5. Step 5: Solve for x
    x = 242,668,048,664.37/565,568.52
  6. Step 6: Final answer
    x = 429,069.23

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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.