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Finding the Fourth Proportional to 591,498.64, 815,418.48 and 421,437.52

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Solution

The fourth proportional to 591,498.64, 815,418.48 and 421,437.52 is: 580,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,498.64 : 815,418.48 = 421,437.52 : x
  2. Step 2: Convert to fraction form
    591,498.64/815,418.48 = 421,437.52/x
  3. Step 3: Cross multiply
    591,498.64x = 815,418.48 × 421,437.52
  4. Step 4: Simplify right side
    591,498.64x = 343,647,941,973.37
  5. Step 5: Solve for x
    x = 343,647,941,973.37/591,498.64
  6. Step 6: Final answer
    x = 580,978.41

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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.