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Finding the Fourth Proportional to 355,686.95, 490,859.72 and 194,542.00

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Solution

The fourth proportional to 355,686.95, 490,859.72 and 194,542.00 is: 268,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,686.95 : 490,859.72 = 194,542.00 : x
  2. Step 2: Convert to fraction form
    355,686.95/490,859.72 = 194,542.00/x
  3. Step 3: Cross multiply
    355,686.95x = 490,859.72 × 194,542.00
  4. Step 4: Simplify right side
    355,686.95x = 95,492,833,486.15
  5. Step 5: Solve for x
    x = 95,492,833,486.15/355,686.95
  6. Step 6: Final answer
    x = 268,474.38

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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.