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Finding the Fourth Proportional to 358,139.85, 494,303.11 and 205,280.43

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Solution

The fourth proportional to 358,139.85, 494,303.11 and 205,280.43 is: 283,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,139.85 : 494,303.11 = 205,280.43 : x
  2. Step 2: Convert to fraction form
    358,139.85/494,303.11 = 205,280.43/x
  3. Step 3: Cross multiply
    358,139.85x = 494,303.11 × 205,280.43
  4. Step 4: Simplify right side
    358,139.85x = 101,470,754,971.14
  5. Step 5: Solve for x
    x = 101,470,754,971.14/358,139.85
  6. Step 6: Final answer
    x = 283,327.18

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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.