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Finding the Fourth Proportional to 380,313, 524,811.98 and 208,197.97

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Solution

The fourth proportional to 380,313, 524,811.98 and 208,197.97 is: 287,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,313 : 524,811.98 = 208,197.97 : x
  2. Step 2: Convert to fraction form
    380,313/524,811.98 = 208,197.97/x
  3. Step 3: Cross multiply
    380,313x = 524,811.98 × 208,197.97
  4. Step 4: Simplify right side
    380,313x = 109,264,788,076.15
  5. Step 5: Solve for x
    x = 109,264,788,076.15/380,313
  6. Step 6: Final answer
    x = 287,302.27

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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.