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Finding the Fourth Proportional to 419,862.78, 629,729.24 and 153,561.02

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Solution

The fourth proportional to 419,862.78, 629,729.24 and 153,561.02 is: 230,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,862.78 : 629,729.24 = 153,561.02 : x
  2. Step 2: Convert to fraction form
    419,862.78/629,729.24 = 153,561.02/x
  3. Step 3: Cross multiply
    419,862.78x = 629,729.24 × 153,561.02
  4. Step 4: Simplify right side
    419,862.78x = 96,701,860,501.77
  5. Step 5: Solve for x
    x = 96,701,860,501.77/419,862.78
  6. Step 6: Final answer
    x = 230,317.77

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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.