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Finding the Fourth Proportional to 354,205.24, 488,814.66 and 201,240.64

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Solution

The fourth proportional to 354,205.24, 488,814.66 and 201,240.64 is: 277,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,205.24 : 488,814.66 = 201,240.64 : x
  2. Step 2: Convert to fraction form
    354,205.24/488,814.66 = 201,240.64/x
  3. Step 3: Cross multiply
    354,205.24x = 488,814.66 × 201,240.64
  4. Step 4: Simplify right side
    354,205.24x = 98,369,375,019.78
  5. Step 5: Solve for x
    x = 98,369,375,019.78/354,205.24
  6. Step 6: Final answer
    x = 277,718.58

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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.