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Finding the Fourth Proportional to 565,835.88, 780,855.66 and 311,203.08

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Solution

The fourth proportional to 565,835.88, 780,855.66 and 311,203.08 is: 429,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,835.88 : 780,855.66 = 311,203.08 : x
  2. Step 2: Convert to fraction form
    565,835.88/780,855.66 = 311,203.08/x
  3. Step 3: Cross multiply
    565,835.88x = 780,855.66 × 311,203.08
  4. Step 4: Simplify right side
    565,835.88x = 243,004,686,427.43
  5. Step 5: Solve for x
    x = 243,004,686,427.43/565,835.88
  6. Step 6: Final answer
    x = 429,461.43

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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.