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Finding the Fourth Proportional to 355,265.24, 490,266.16 and 191,921.81

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Solution

The fourth proportional to 355,265.24, 490,266.16 and 191,921.81 is: 264,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,265.24 : 490,266.16 = 191,921.81 : x
  2. Step 2: Convert to fraction form
    355,265.24/490,266.16 = 191,921.81/x
  3. Step 3: Cross multiply
    355,265.24x = 490,266.16 × 191,921.81
  4. Step 4: Simplify right side
    355,265.24x = 94,092,765,877.81
  5. Step 5: Solve for x
    x = 94,092,765,877.81/355,265.24
  6. Step 6: Final answer
    x = 264,852.16

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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.