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Finding the Fourth Proportional to 289,289.34, 399,185.16 and 166,780.35

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Solution

The fourth proportional to 289,289.34, 399,185.16 and 166,780.35 is: 230,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,289.34 : 399,185.16 = 166,780.35 : x
  2. Step 2: Convert to fraction form
    289,289.34/399,185.16 = 166,780.35/x
  3. Step 3: Cross multiply
    289,289.34x = 399,185.16 × 166,780.35
  4. Step 4: Simplify right side
    289,289.34x = 66,576,240,699.61
  5. Step 5: Solve for x
    x = 66,576,240,699.61/289,289.34
  6. Step 6: Final answer
    x = 230,137.21

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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.