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Finding the Fourth Proportional to 345,950.38, 477,400.70 and 202,805.76

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Solution

The fourth proportional to 345,950.38, 477,400.70 and 202,805.76 is: 279,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,950.38 : 477,400.70 = 202,805.76 : x
  2. Step 2: Convert to fraction form
    345,950.38/477,400.70 = 202,805.76/x
  3. Step 3: Cross multiply
    345,950.38x = 477,400.70 × 202,805.76
  4. Step 4: Simplify right side
    345,950.38x = 96,819,611,788.03
  5. Step 5: Solve for x
    x = 96,819,611,788.03/345,950.38
  6. Step 6: Final answer
    x = 279,865.60

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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.