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Finding the Fourth Proportional to 354,145.83, 488,706.99 and 192,997.42

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Solution

The fourth proportional to 354,145.83, 488,706.99 and 192,997.42 is: 266,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,145.83 : 488,706.99 = 192,997.42 : x
  2. Step 2: Convert to fraction form
    354,145.83/488,706.99 = 192,997.42/x
  3. Step 3: Cross multiply
    354,145.83x = 488,706.99 × 192,997.42
  4. Step 4: Simplify right side
    354,145.83x = 94,319,189,009.43
  5. Step 5: Solve for x
    x = 94,319,189,009.43/354,145.83
  6. Step 6: Final answer
    x = 266,328.67

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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.