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Finding the Fourth Proportional to 345,834, 477,258.21 and 194,931

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Solution

The fourth proportional to 345,834, 477,258.21 and 194,931 is: 269,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,834 : 477,258.21 = 194,931 : x
  2. Step 2: Convert to fraction form
    345,834/477,258.21 = 194,931/x
  3. Step 3: Cross multiply
    345,834x = 477,258.21 × 194,931
  4. Step 4: Simplify right side
    345,834x = 93,032,420,133.51
  5. Step 5: Solve for x
    x = 93,032,420,133.51/345,834
  6. Step 6: Final answer
    x = 269,008.89

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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.