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Finding the Fourth Proportional to 570,085.85, 786,706.34 and 311,961.76

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Solution

The fourth proportional to 570,085.85, 786,706.34 and 311,961.76 is: 430,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,085.85 : 786,706.34 = 311,961.76 : x
  2. Step 2: Convert to fraction form
    570,085.85/786,706.34 = 311,961.76/x
  3. Step 3: Cross multiply
    570,085.85x = 786,706.34 × 311,961.76
  4. Step 4: Simplify right side
    570,085.85x = 245,422,294,429.56
  5. Step 5: Solve for x
    x = 245,422,294,429.56/570,085.85
  6. Step 6: Final answer
    x = 430,500.59

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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.