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Finding the Fourth Proportional to 354,182.11, 488,782.72 and 201,217.51

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Solution

The fourth proportional to 354,182.11, 488,782.72 and 201,217.51 is: 277,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,182.11 : 488,782.72 = 201,217.51 : x
  2. Step 2: Convert to fraction form
    354,182.11/488,782.72 = 201,217.51/x
  3. Step 3: Cross multiply
    354,182.11x = 488,782.72 × 201,217.51
  4. Step 4: Simplify right side
    354,182.11x = 98,351,639,405.51
  5. Step 5: Solve for x
    x = 98,351,639,405.51/354,182.11
  6. Step 6: Final answer
    x = 277,686.64

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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.