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Finding the Fourth Proportional to 422,972.20, 583,395.78 and 359,209

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Solution

The fourth proportional to 422,972.20, 583,395.78 and 359,209 is: 495,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,972.20 : 583,395.78 = 359,209 : x
  2. Step 2: Convert to fraction form
    422,972.20/583,395.78 = 359,209/x
  3. Step 3: Cross multiply
    422,972.20x = 583,395.78 × 359,209
  4. Step 4: Simplify right side
    422,972.20x = 209,561,014,738.02
  5. Step 5: Solve for x
    x = 209,561,014,738.02/422,972.20
  6. Step 6: Final answer
    x = 495,448.67

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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.