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Finding the Fourth Proportional to 458,844, 632,930.16 and 288,782.88

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Solution

The fourth proportional to 458,844, 632,930.16 and 288,782.88 is: 398,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,844 : 632,930.16 = 288,782.88 : x
  2. Step 2: Convert to fraction form
    458,844/632,930.16 = 288,782.88/x
  3. Step 3: Cross multiply
    458,844x = 632,930.16 × 288,782.88
  4. Step 4: Simplify right side
    458,844x = 182,779,394,443.66
  5. Step 5: Solve for x
    x = 182,779,394,443.66/458,844
  6. Step 6: Final answer
    x = 398,347.57

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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.