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Finding the Fourth Proportional to 419,860.66, 629,726.05 and 153,558.89

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Solution

The fourth proportional to 419,860.66, 629,726.05 and 153,558.89 is: 230,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,860.66 : 629,726.05 = 153,558.89 : x
  2. Step 2: Convert to fraction form
    419,860.66/629,726.05 = 153,558.89/x
  3. Step 3: Cross multiply
    419,860.66x = 629,726.05 × 153,558.89
  4. Step 4: Simplify right side
    419,860.66x = 96,700,032,474.29
  5. Step 5: Solve for x
    x = 96,700,032,474.29/419,860.66
  6. Step 6: Final answer
    x = 230,314.58

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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.