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Finding the Fourth Proportional to 458,164, 632,542.80 and 299,464.48

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Solution

The fourth proportional to 458,164, 632,542.80 and 299,464.48 is: 413,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,164 : 632,542.80 = 299,464.48 : x
  2. Step 2: Convert to fraction form
    458,164/632,542.80 = 299,464.48/x
  3. Step 3: Cross multiply
    458,164x = 632,542.80 × 299,464.48
  4. Step 4: Simplify right side
    458,164x = 189,424,100,679.74
  5. Step 5: Solve for x
    x = 189,424,100,679.74/458,164
  6. Step 6: Final answer
    x = 413,441.69

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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.