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Finding the Fourth Proportional to 356,465, 491,921.70 and 213,231.08

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Solution

The fourth proportional to 356,465, 491,921.70 and 213,231.08 is: 294,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,465 : 491,921.70 = 213,231.08 : x
  2. Step 2: Convert to fraction form
    356,465/491,921.70 = 213,231.08/x
  3. Step 3: Cross multiply
    356,465x = 491,921.70 × 213,231.08
  4. Step 4: Simplify right side
    356,465x = 104,892,995,366.44
  5. Step 5: Solve for x
    x = 104,892,995,366.44/356,465
  6. Step 6: Final answer
    x = 294,258.89

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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.