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Finding the Fourth Proportional to 458,176, 632,559.36 and 299,476.48

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Solution

The fourth proportional to 458,176, 632,559.36 and 299,476.48 is: 413,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,176 : 632,559.36 = 299,476.48 : x
  2. Step 2: Convert to fraction form
    458,176/632,559.36 = 299,476.48/x
  3. Step 3: Cross multiply
    458,176x = 632,559.36 × 299,476.48
  4. Step 4: Simplify right side
    458,176x = 189,436,650,523.85
  5. Step 5: Solve for x
    x = 189,436,650,523.85/458,176
  6. Step 6: Final answer
    x = 413,458.26

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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.