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Finding the Fourth Proportional to 419,097.98, 628,799.04 and 258,987.30

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Solution

The fourth proportional to 419,097.98, 628,799.04 and 258,987.30 is: 388,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,097.98 : 628,799.04 = 258,987.30 : x
  2. Step 2: Convert to fraction form
    419,097.98/628,799.04 = 258,987.30/x
  3. Step 3: Cross multiply
    419,097.98x = 628,799.04 × 258,987.30
  4. Step 4: Simplify right side
    419,097.98x = 162,850,965,612.19
  5. Step 5: Solve for x
    x = 162,850,965,612.19/419,097.98
  6. Step 6: Final answer
    x = 388,574.93

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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.