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Finding the Fourth Proportional to 358,457, 494,612.76 and 205,467.02

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Solution

The fourth proportional to 358,457, 494,612.76 and 205,467.02 is: 283,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,457 : 494,612.76 = 205,467.02 : x
  2. Step 2: Convert to fraction form
    358,457/494,612.76 = 205,467.02/x
  3. Step 3: Cross multiply
    358,457x = 494,612.76 × 205,467.02
  4. Step 4: Simplify right side
    358,457x = 101,626,609,851.18
  5. Step 5: Solve for x
    x = 101,626,609,851.18/358,457
  6. Step 6: Final answer
    x = 283,511.30

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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.