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Finding the Fourth Proportional to 358,008, 494,065.32 and 214,715.76

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Solution

The fourth proportional to 358,008, 494,065.32 and 214,715.76 is: 296,316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,008 : 494,065.32 = 214,715.76 : x
  2. Step 2: Convert to fraction form
    358,008/494,065.32 = 214,715.76/x
  3. Step 3: Cross multiply
    358,008x = 494,065.32 × 214,715.76
  4. Step 4: Simplify right side
    358,008x = 106,083,610,673.44
  5. Step 5: Solve for x
    x = 106,083,610,673.44/358,008
  6. Step 6: Final answer
    x = 296,316.31

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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.