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Finding the Fourth Proportional to 642,396.40, 886,514.16 and 355,921

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Solution

The fourth proportional to 642,396.40, 886,514.16 and 355,921 is: 491,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,396.40 : 886,514.16 = 355,921 : x
  2. Step 2: Convert to fraction form
    642,396.40/886,514.16 = 355,921/x
  3. Step 3: Cross multiply
    642,396.40x = 886,514.16 × 355,921
  4. Step 4: Simplify right side
    642,396.40x = 315,529,006,341.36
  5. Step 5: Solve for x
    x = 315,529,006,341.36/642,396.40
  6. Step 6: Final answer
    x = 491,174.93

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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.