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Finding the Fourth Proportional to 303,886.70, 455,830.05 and 209,408.30

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Solution

The fourth proportional to 303,886.70, 455,830.05 and 209,408.30 is: 314,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,886.70 : 455,830.05 = 209,408.30 : x
  2. Step 2: Convert to fraction form
    303,886.70/455,830.05 = 209,408.30/x
  3. Step 3: Cross multiply
    303,886.70x = 455,830.05 × 209,408.30
  4. Step 4: Simplify right side
    303,886.70x = 95,454,595,859.42
  5. Step 5: Solve for x
    x = 95,454,595,859.42/303,886.70
  6. Step 6: Final answer
    x = 314,112.45

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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.