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Finding the Fourth Proportional to 312,749.91, 469,164.66 and 85,050.30

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Solution

The fourth proportional to 312,749.91, 469,164.66 and 85,050.30 is: 127,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,749.91 : 469,164.66 = 85,050.30 : x
  2. Step 2: Convert to fraction form
    312,749.91/469,164.66 = 85,050.30/x
  3. Step 3: Cross multiply
    312,749.91x = 469,164.66 × 85,050.30
  4. Step 4: Simplify right side
    312,749.91x = 39,902,596,522.83
  5. Step 5: Solve for x
    x = 39,902,596,522.83/312,749.91
  6. Step 6: Final answer
    x = 127,586.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.