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Finding the Fourth Proportional to 601,692.64, 830,336 and 329,771.32

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Solution

The fourth proportional to 601,692.64, 830,336 and 329,771.32 is: 455,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,692.64 : 830,336 = 329,771.32 : x
  2. Step 2: Convert to fraction form
    601,692.64/830,336 = 329,771.32/x
  3. Step 3: Cross multiply
    601,692.64x = 830,336 × 329,771.32
  4. Step 4: Simplify right side
    601,692.64x = 273,820,998,763.52
  5. Step 5: Solve for x
    x = 273,820,998,763.52/601,692.64
  6. Step 6: Final answer
    x = 455,084.51

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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.