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Finding the Fourth Proportional to 570,085.35, 786,705.65 and 311,961.26

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Solution

The fourth proportional to 570,085.35, 786,705.65 and 311,961.26 is: 430,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,085.35 : 786,705.65 = 311,961.26 : x
  2. Step 2: Convert to fraction form
    570,085.35/786,705.65 = 311,961.26/x
  3. Step 3: Cross multiply
    570,085.35x = 786,705.65 × 311,961.26
  4. Step 4: Simplify right side
    570,085.35x = 245,421,685,134.88
  5. Step 5: Solve for x
    x = 245,421,685,134.88/570,085.35
  6. Step 6: Final answer
    x = 430,499.90

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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.