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Finding the Fourth Proportional to 354,108.96, 488,655 and 201,146.67

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Solution

The fourth proportional to 354,108.96, 488,655 and 201,146.67 is: 277,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,108.96 : 488,655 = 201,146.67 : x
  2. Step 2: Convert to fraction form
    354,108.96/488,655 = 201,146.67/x
  3. Step 3: Cross multiply
    354,108.96x = 488,655 × 201,146.67
  4. Step 4: Simplify right side
    354,108.96x = 98,291,326,028.85
  5. Step 5: Solve for x
    x = 98,291,326,028.85/354,108.96
  6. Step 6: Final answer
    x = 277,573.68

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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.