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Finding the Fourth Proportional to 438,347.88, 657,514.66 and 138,828

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Solution

The fourth proportional to 438,347.88, 657,514.66 and 138,828 is: 208,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,347.88 : 657,514.66 = 138,828 : x
  2. Step 2: Convert to fraction form
    438,347.88/657,514.66 = 138,828/x
  3. Step 3: Cross multiply
    438,347.88x = 657,514.66 × 138,828
  4. Step 4: Simplify right side
    438,347.88x = 91,281,445,218.48
  5. Step 5: Solve for x
    x = 91,281,445,218.48/438,347.88
  6. Step 6: Final answer
    x = 208,239.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.