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Finding the Fourth Proportional to 503,394.84, 694,584.18 and 288,602.28

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Solution

The fourth proportional to 503,394.84, 694,584.18 and 288,602.28 is: 398,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,394.84 : 694,584.18 = 288,602.28 : x
  2. Step 2: Convert to fraction form
    503,394.84/694,584.18 = 288,602.28/x
  3. Step 3: Cross multiply
    503,394.84x = 694,584.18 × 288,602.28
  4. Step 4: Simplify right side
    503,394.84x = 200,458,577,999.93
  5. Step 5: Solve for x
    x = 200,458,577,999.93/503,394.84
  6. Step 6: Final answer
    x = 398,213.41

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1.5x scale

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.