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Finding the Fourth Proportional to 268,904.78, 371,074.50 and 148,022.45

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Solution

The fourth proportional to 268,904.78, 371,074.50 and 148,022.45 is: 204,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,904.78 : 371,074.50 = 148,022.45 : x
  2. Step 2: Convert to fraction form
    268,904.78/371,074.50 = 148,022.45/x
  3. Step 3: Cross multiply
    268,904.78x = 371,074.50 × 148,022.45
  4. Step 4: Simplify right side
    268,904.78x = 54,927,356,622.53
  5. Step 5: Solve for x
    x = 54,927,356,622.53/268,904.78
  6. Step 6: Final answer
    x = 204,263.22

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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.