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Finding the Fourth Proportional to 355,910, 491,152.10 and 202,973.10

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Solution

The fourth proportional to 355,910, 491,152.10 and 202,973.10 is: 280,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,910 : 491,152.10 = 202,973.10 : x
  2. Step 2: Convert to fraction form
    355,910/491,152.10 = 202,973.10/x
  3. Step 3: Cross multiply
    355,910x = 491,152.10 × 202,973.10
  4. Step 4: Simplify right side
    355,910x = 99,690,664,308.51
  5. Step 5: Solve for x
    x = 99,690,664,308.51/355,910
  6. Step 6: Final answer
    x = 280,100.77

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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.