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Finding the Fourth Proportional to 647,136, 970,895.52 and 331,814.16

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Solution

The fourth proportional to 647,136, 970,895.52 and 331,814.16 is: 497,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,136 : 970,895.52 = 331,814.16 : x
  2. Step 2: Convert to fraction form
    647,136/970,895.52 = 331,814.16/x
  3. Step 3: Cross multiply
    647,136x = 970,895.52 × 331,814.16
  4. Step 4: Simplify right side
    647,136x = 322,156,881,416.56
  5. Step 5: Solve for x
    x = 322,156,881,416.56/647,136
  6. Step 6: Final answer
    x = 497,819.44

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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.