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Finding the Fourth Proportional to 415,278, 623,021.04 and 119,790

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Solution

The fourth proportional to 415,278, 623,021.04 and 119,790 is: 179,715.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,278 : 623,021.04 = 119,790 : x
  2. Step 2: Convert to fraction form
    415,278/623,021.04 = 119,790/x
  3. Step 3: Cross multiply
    415,278x = 623,021.04 × 119,790
  4. Step 4: Simplify right side
    415,278x = 74,631,690,381.60
  5. Step 5: Solve for x
    x = 74,631,690,381.60/415,278
  6. Step 6: Final answer
    x = 179,715.01

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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.