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Finding the Fourth Proportional to 511,671.72, 706,109.74 and 282,237.06

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Solution

The fourth proportional to 511,671.72, 706,109.74 and 282,237.06 is: 389,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,671.72 : 706,109.74 = 282,237.06 : x
  2. Step 2: Convert to fraction form
    511,671.72/706,109.74 = 282,237.06/x
  3. Step 3: Cross multiply
    511,671.72x = 706,109.74 × 282,237.06
  4. Step 4: Simplify right side
    511,671.72x = 199,290,337,054.96
  5. Step 5: Solve for x
    x = 199,290,337,054.96/511,671.72
  6. Step 6: Final answer
    x = 389,488.67

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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.