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Finding the Fourth Proportional to 511,112.41, 766,671.45 and 211,430.64

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Solution

The fourth proportional to 511,112.41, 766,671.45 and 211,430.64 is: 317,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,112.41 : 766,671.45 = 211,430.64 : x
  2. Step 2: Convert to fraction form
    511,112.41/766,671.45 = 211,430.64/x
  3. Step 3: Cross multiply
    511,112.41x = 766,671.45 × 211,430.64
  4. Step 4: Simplify right side
    511,112.41x = 162,097,835,343.23
  5. Step 5: Solve for x
    x = 162,097,835,343.23/511,112.41
  6. Step 6: Final answer
    x = 317,147.13

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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.