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Finding the Fourth Proportional to 565,819.08, 780,830.46 and 311,187.48

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Solution

The fourth proportional to 565,819.08, 780,830.46 and 311,187.48 is: 429,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,819.08 : 780,830.46 = 311,187.48 : x
  2. Step 2: Convert to fraction form
    565,819.08/780,830.46 = 311,187.48/x
  3. Step 3: Cross multiply
    565,819.08x = 780,830.46 × 311,187.48
  4. Step 4: Simplify right side
    565,819.08x = 242,984,663,154.64
  5. Step 5: Solve for x
    x = 242,984,663,154.64/565,819.08
  6. Step 6: Final answer
    x = 429,438.79

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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.