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Finding the Fourth Proportional to 356,851.20, 492,453.90 and 205,948.20

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Solution

The fourth proportional to 356,851.20, 492,453.90 and 205,948.20 is: 284,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,851.20 : 492,453.90 = 205,948.20 : x
  2. Step 2: Convert to fraction form
    356,851.20/492,453.90 = 205,948.20/x
  3. Step 3: Cross multiply
    356,851.20x = 492,453.90 × 205,948.20
  4. Step 4: Simplify right side
    356,851.20x = 101,419,994,287.98
  5. Step 5: Solve for x
    x = 101,419,994,287.98/356,851.20
  6. Step 6: Final answer
    x = 284,208.08

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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.