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Finding the Fourth Proportional to 565,800.28, 780,788.81 and 311,151.47

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Solution

The fourth proportional to 565,800.28, 780,788.81 and 311,151.47 is: 429,380.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,800.28 : 780,788.81 = 311,151.47 : x
  2. Step 2: Convert to fraction form
    565,800.28/780,788.81 = 311,151.47/x
  3. Step 3: Cross multiply
    565,800.28x = 780,788.81 × 311,151.47
  4. Step 4: Simplify right side
    565,800.28x = 242,943,582,864.99
  5. Step 5: Solve for x
    x = 242,943,582,864.99/565,800.28
  6. Step 6: Final answer
    x = 429,380.46

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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.