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Finding the Fourth Proportional to 691,217, 1,036,825.50 and 165,905

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Solution

The fourth proportional to 691,217, 1,036,825.50 and 165,905 is: 248,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,217 : 1,036,825.50 = 165,905 : x
  2. Step 2: Convert to fraction form
    691,217/1,036,825.50 = 165,905/x
  3. Step 3: Cross multiply
    691,217x = 1,036,825.50 × 165,905
  4. Step 4: Simplify right side
    691,217x = 172,014,534,577.50
  5. Step 5: Solve for x
    x = 172,014,534,577.50/691,217
  6. Step 6: Final answer
    x = 248,857.50

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1.5x scale

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.