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Finding the Fourth Proportional to 355,688.95, 490,862.48 and 194,544

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Solution

The fourth proportional to 355,688.95, 490,862.48 and 194,544 is: 268,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,688.95 : 490,862.48 = 194,544 : x
  2. Step 2: Convert to fraction form
    355,688.95/490,862.48 = 194,544/x
  3. Step 3: Cross multiply
    355,688.95x = 490,862.48 × 194,544
  4. Step 4: Simplify right side
    355,688.95x = 95,494,350,309.12
  5. Step 5: Solve for x
    x = 95,494,350,309.12/355,688.95
  6. Step 6: Final answer
    x = 268,477.14

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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.