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Finding the Fourth Proportional to 377,136, 520,447.68 and 226,281.60

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Solution

The fourth proportional to 377,136, 520,447.68 and 226,281.60 is: 312,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,136 : 520,447.68 = 226,281.60 : x
  2. Step 2: Convert to fraction form
    377,136/520,447.68 = 226,281.60/x
  3. Step 3: Cross multiply
    377,136x = 520,447.68 × 226,281.60
  4. Step 4: Simplify right side
    377,136x = 117,767,733,746.69
  5. Step 5: Solve for x
    x = 117,767,733,746.69/377,136
  6. Step 6: Final answer
    x = 312,268.61

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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.