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Finding the Fourth Proportional to 316,065, 436,169.66 and 172,825.14

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Solution

The fourth proportional to 316,065, 436,169.66 and 172,825.14 is: 238,498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,065 : 436,169.66 = 172,825.14 : x
  2. Step 2: Convert to fraction form
    316,065/436,169.66 = 172,825.14/x
  3. Step 3: Cross multiply
    316,065x = 436,169.66 × 172,825.14
  4. Step 4: Simplify right side
    316,065x = 75,381,082,553.25
  5. Step 5: Solve for x
    x = 75,381,082,553.25/316,065
  6. Step 6: Final answer
    x = 238,498.67

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1.5x scale

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.