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Finding the Fourth Proportional to 419,097.60, 578,465.85 and 258,087.54

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Solution

The fourth proportional to 419,097.60, 578,465.85 and 258,087.54 is: 356,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,097.60 : 578,465.85 = 258,087.54 : x
  2. Step 2: Convert to fraction form
    419,097.60/578,465.85 = 258,087.54/x
  3. Step 3: Cross multiply
    419,097.60x = 578,465.85 × 258,087.54
  4. Step 4: Simplify right side
    419,097.60x = 149,294,828,200.51
  5. Step 5: Solve for x
    x = 149,294,828,200.51/419,097.60
  6. Step 6: Final answer
    x = 356,229.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.