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Finding the Fourth Proportional to 503,397.84, 694,588.32 and 288,605.28

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Solution

The fourth proportional to 503,397.84, 694,588.32 and 288,605.28 is: 398,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,397.84 : 694,588.32 = 288,605.28 : x
  2. Step 2: Convert to fraction form
    503,397.84/694,588.32 = 288,605.28/x
  3. Step 3: Cross multiply
    503,397.84x = 694,588.32 × 288,605.28
  4. Step 4: Simplify right side
    503,397.84x = 200,461,856,578.33
  5. Step 5: Solve for x
    x = 200,461,856,578.33/503,397.84
  6. Step 6: Final answer
    x = 398,217.55

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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.