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Finding the Fourth Proportional to 419,258.52, 578,590.83 and 235,529.33

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Solution

The fourth proportional to 419,258.52, 578,590.83 and 235,529.33 is: 325,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,258.52 : 578,590.83 = 235,529.33 : x
  2. Step 2: Convert to fraction form
    419,258.52/578,590.83 = 235,529.33/x
  3. Step 3: Cross multiply
    419,258.52x = 578,590.83 × 235,529.33
  4. Step 4: Simplify right side
    419,258.52x = 136,275,107,641.09
  5. Step 5: Solve for x
    x = 136,275,107,641.09/419,258.52
  6. Step 6: Final answer
    x = 325,038.37

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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.