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Finding the Fourth Proportional to 358,457.13, 494,612.95 and 205,467.16

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Solution

The fourth proportional to 358,457.13, 494,612.95 and 205,467.16 is: 283,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,457.13 : 494,612.95 = 205,467.16 : x
  2. Step 2: Convert to fraction form
    358,457.13/494,612.95 = 205,467.16/x
  3. Step 3: Cross multiply
    358,457.13x = 494,612.95 × 205,467.16
  4. Step 4: Simplify right side
    358,457.13x = 101,626,718,858.59
  5. Step 5: Solve for x
    x = 101,626,718,858.59/358,457.13
  6. Step 6: Final answer
    x = 283,511.50

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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.