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Finding the Fourth Proportional to 511,564.60, 767,978.70 and 322,024.60

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Solution

The fourth proportional to 511,564.60, 767,978.70 and 322,024.60 is: 483,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,564.60 : 767,978.70 = 322,024.60 : x
  2. Step 2: Convert to fraction form
    511,564.60/767,978.70 = 322,024.60/x
  3. Step 3: Cross multiply
    511,564.60x = 767,978.70 × 322,024.60
  4. Step 4: Simplify right side
    511,564.60x = 247,308,033,676.02
  5. Step 5: Solve for x
    x = 247,308,033,676.02/511,564.60
  6. Step 6: Final answer
    x = 483,434.61

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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.