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Finding the Fourth Proportional to 216,281, 298,431.49 and 120,788.07

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Solution

The fourth proportional to 216,281, 298,431.49 and 120,788.07 is: 166,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,281 : 298,431.49 = 120,788.07 : x
  2. Step 2: Convert to fraction form
    216,281/298,431.49 = 120,788.07/x
  3. Step 3: Cross multiply
    216,281x = 298,431.49 × 120,788.07
  4. Step 4: Simplify right side
    216,281x = 36,046,963,704.32
  5. Step 5: Solve for x
    x = 36,046,963,704.32/216,281
  6. Step 6: Final answer
    x = 166,667.27

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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.