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Finding the Fourth Proportional to 419,339.45, 578,712.74 and 315,788.25

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Solution

The fourth proportional to 419,339.45, 578,712.74 and 315,788.25 is: 435,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,339.45 : 578,712.74 = 315,788.25 : x
  2. Step 2: Convert to fraction form
    419,339.45/578,712.74 = 315,788.25/x
  3. Step 3: Cross multiply
    419,339.45x = 578,712.74 × 315,788.25
  4. Step 4: Simplify right side
    419,339.45x = 182,750,681,838.36
  5. Step 5: Solve for x
    x = 182,750,681,838.36/419,339.45
  6. Step 6: Final answer
    x = 435,806.09

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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.