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Finding the Fourth Proportional to 522,782.15, 783,136.43 and 311,793.35

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Solution

The fourth proportional to 522,782.15, 783,136.43 and 311,793.35 is: 467,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,782.15 : 783,136.43 = 311,793.35 : x
  2. Step 2: Convert to fraction form
    522,782.15/783,136.43 = 311,793.35/x
  3. Step 3: Cross multiply
    522,782.15x = 783,136.43 × 311,793.35
  4. Step 4: Simplify right side
    522,782.15x = 244,176,729,457.77
  5. Step 5: Solve for x
    x = 244,176,729,457.77/522,782.15
  6. Step 6: Final answer
    x = 467,071.67

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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.