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Finding the Fourth Proportional to 422,973.20, 583,397.16 and 359,210

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Solution

The fourth proportional to 422,973.20, 583,397.16 and 359,210 is: 495,450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,973.20 : 583,397.16 = 359,210 : x
  2. Step 2: Convert to fraction form
    422,973.20/583,397.16 = 359,210/x
  3. Step 3: Cross multiply
    422,973.20x = 583,397.16 × 359,210
  4. Step 4: Simplify right side
    422,973.20x = 209,562,093,843.60
  5. Step 5: Solve for x
    x = 209,562,093,843.60/422,973.20
  6. Step 6: Final answer
    x = 495,450.05

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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.