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Finding the Fourth Proportional to 358,052.54, 494,111.88 and 205,140.20

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Solution

The fourth proportional to 358,052.54, 494,111.88 and 205,140.20 is: 283,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,052.54 : 494,111.88 = 205,140.20 : x
  2. Step 2: Convert to fraction form
    358,052.54/494,111.88 = 205,140.20/x
  3. Step 3: Cross multiply
    358,052.54x = 494,111.88 × 205,140.20
  4. Step 4: Simplify right side
    358,052.54x = 101,362,209,885.58
  5. Step 5: Solve for x
    x = 101,362,209,885.58/358,052.54
  6. Step 6: Final answer
    x = 283,093.12

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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.