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Finding the Fourth Proportional to 565,912.25, 780,973.67 and 311,270.12

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Solution

The fourth proportional to 565,912.25, 780,973.67 and 311,270.12 is: 429,560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,912.25 : 780,973.67 = 311,270.12 : x
  2. Step 2: Convert to fraction form
    565,912.25/780,973.67 = 311,270.12/x
  3. Step 3: Cross multiply
    565,912.25x = 780,973.67 × 311,270.12
  4. Step 4: Simplify right side
    565,912.25x = 243,093,767,977.74
  5. Step 5: Solve for x
    x = 243,093,767,977.74/565,912.25
  6. Step 6: Final answer
    x = 429,560.89

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1.5x scale

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.