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Finding the Fourth Proportional to 511,688.75, 766,535.75 and 311,512.64

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Solution

The fourth proportional to 511,688.75, 766,535.75 and 311,512.64 is: 466,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,688.75 : 766,535.75 = 311,512.64 : x
  2. Step 2: Convert to fraction form
    511,688.75/766,535.75 = 311,512.64/x
  3. Step 3: Cross multiply
    511,688.75x = 766,535.75 × 311,512.64
  4. Step 4: Simplify right side
    511,688.75x = 238,785,572,667.07
  5. Step 5: Solve for x
    x = 238,785,572,667.07/511,688.75
  6. Step 6: Final answer
    x = 466,661.76

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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.