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Finding the Fourth Proportional to 511,253.04, 765,762 and 421,498.56

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Solution

The fourth proportional to 511,253.04, 765,762 and 421,498.56 is: 631,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,253.04 : 765,762 = 421,498.56 : x
  2. Step 2: Convert to fraction form
    511,253.04/765,762 = 421,498.56/x
  3. Step 3: Cross multiply
    511,253.04x = 765,762 × 421,498.56
  4. Step 4: Simplify right side
    511,253.04x = 322,767,580,302.72
  5. Step 5: Solve for x
    x = 322,767,580,302.72/511,253.04
  6. Step 6: Final answer
    x = 631,326.48

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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.