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Finding the Fourth Proportional to 565,856.39, 780,868.99 and 311,211.83

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Solution

The fourth proportional to 565,856.39, 780,868.99 and 311,211.83 is: 429,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,856.39 : 780,868.99 = 311,211.83 : x
  2. Step 2: Convert to fraction form
    565,856.39/780,868.99 = 311,211.83/x
  3. Step 3: Cross multiply
    565,856.39x = 780,868.99 × 311,211.83
  4. Step 4: Simplify right side
    565,856.39x = 243,015,669,709.34
  5. Step 5: Solve for x
    x = 243,015,669,709.34/565,856.39
  6. Step 6: Final answer
    x = 429,465.27

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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.