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Finding the Fourth Proportional to 511,570.68, 705,984.30 and 282,138

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Solution

The fourth proportional to 511,570.68, 705,984.30 and 282,138 is: 389,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,570.68 : 705,984.30 = 282,138 : x
  2. Step 2: Convert to fraction form
    511,570.68/705,984.30 = 282,138/x
  3. Step 3: Cross multiply
    511,570.68x = 705,984.30 × 282,138
  4. Step 4: Simplify right side
    511,570.68x = 199,184,998,433.40
  5. Step 5: Solve for x
    x = 199,184,998,433.40/511,570.68
  6. Step 6: Final answer
    x = 389,359.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.