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Finding the Fourth Proportional to 437,472, 656,324.64 and 215,856

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Solution

The fourth proportional to 437,472, 656,324.64 and 215,856 is: 323,841.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,472 : 656,324.64 = 215,856 : x
  2. Step 2: Convert to fraction form
    437,472/656,324.64 = 215,856/x
  3. Step 3: Cross multiply
    437,472x = 656,324.64 × 215,856
  4. Step 4: Simplify right side
    437,472x = 141,671,611,491.84
  5. Step 5: Solve for x
    x = 141,671,611,491.84/437,472
  6. Step 6: Final answer
    x = 323,841.55

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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.