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Finding the Fourth Proportional to 565,863.78, 780,898.52 and 311,219.22

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Solution

The fourth proportional to 565,863.78, 780,898.52 and 311,219.22 is: 429,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,863.78 : 780,898.52 = 311,219.22 : x
  2. Step 2: Convert to fraction form
    565,863.78/780,898.52 = 311,219.22/x
  3. Step 3: Cross multiply
    565,863.78x = 780,898.52 × 311,219.22
  4. Step 4: Simplify right side
    565,863.78x = 243,030,628,293.55
  5. Step 5: Solve for x
    x = 243,030,628,293.55/565,863.78
  6. Step 6: Final answer
    x = 429,486.10

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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.