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Finding the Fourth Proportional to 419,095.73, 578,401.35 and 235,364.49

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Solution

The fourth proportional to 419,095.73, 578,401.35 and 235,364.49 is: 324,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,095.73 : 578,401.35 = 235,364.49 : x
  2. Step 2: Convert to fraction form
    419,095.73/578,401.35 = 235,364.49/x
  3. Step 3: Cross multiply
    419,095.73x = 578,401.35 × 235,364.49
  4. Step 4: Simplify right side
    419,095.73x = 136,135,138,758.06
  5. Step 5: Solve for x
    x = 136,135,138,758.06/419,095.73
  6. Step 6: Final answer
    x = 324,830.65

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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.