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Finding the Fourth Proportional to 511,111.91, 766,670.70 and 211,430.14

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Solution

The fourth proportional to 511,111.91, 766,670.70 and 211,430.14 is: 317,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,111.91 : 766,670.70 = 211,430.14 : x
  2. Step 2: Convert to fraction form
    511,111.91/766,670.70 = 211,430.14/x
  3. Step 3: Cross multiply
    511,111.91x = 766,670.70 × 211,430.14
  4. Step 4: Simplify right side
    511,111.91x = 162,097,289,601.55
  5. Step 5: Solve for x
    x = 162,097,289,601.55/511,111.91
  6. Step 6: Final answer
    x = 317,146.38

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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.