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Finding the Fourth Proportional to 416,356, 624,551.28 and 120,868

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Solution

The fourth proportional to 416,356, 624,551.28 and 120,868 is: 181,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,356 : 624,551.28 = 120,868 : x
  2. Step 2: Convert to fraction form
    416,356/624,551.28 = 120,868/x
  3. Step 3: Cross multiply
    416,356x = 624,551.28 × 120,868
  4. Step 4: Simplify right side
    416,356x = 75,488,264,111.04
  5. Step 5: Solve for x
    x = 75,488,264,111.04/416,356
  6. Step 6: Final answer
    x = 181,307.02

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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.