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Finding the Fourth Proportional to 569,311.74, 785,653.26 and 311,189.04

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Solution

The fourth proportional to 569,311.74, 785,653.26 and 311,189.04 is: 429,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,311.74 : 785,653.26 = 311,189.04 : x
  2. Step 2: Convert to fraction form
    569,311.74/785,653.26 = 311,189.04/x
  3. Step 3: Cross multiply
    569,311.74x = 785,653.26 × 311,189.04
  4. Step 4: Simplify right side
    569,311.74x = 244,486,683,752.27
  5. Step 5: Solve for x
    x = 244,486,683,752.27/569,311.74
  6. Step 6: Final answer
    x = 429,442.55

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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.