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Finding the Fourth Proportional to 511,831.56, 767,418.48 and 212,518.80

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Solution

The fourth proportional to 511,831.56, 767,418.48 and 212,518.80 is: 318,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,831.56 : 767,418.48 = 212,518.80 : x
  2. Step 2: Convert to fraction form
    511,831.56/767,418.48 = 212,518.80/x
  3. Step 3: Cross multiply
    511,831.56x = 767,418.48 × 212,518.80
  4. Step 4: Simplify right side
    511,831.56x = 163,090,854,467.42
  5. Step 5: Solve for x
    x = 163,090,854,467.42/511,831.56
  6. Step 6: Final answer
    x = 318,641.65

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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.