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Finding the Fourth Proportional to 261,783.96, 391,855.41 and 180,255.30

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Solution

The fourth proportional to 261,783.96, 391,855.41 and 180,255.30 is: 269,817.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,783.96 : 391,855.41 = 180,255.30 : x
  2. Step 2: Convert to fraction form
    261,783.96/391,855.41 = 180,255.30/x
  3. Step 3: Cross multiply
    261,783.96x = 391,855.41 × 180,255.30
  4. Step 4: Simplify right side
    261,783.96x = 70,634,014,486.17
  5. Step 5: Solve for x
    x = 70,634,014,486.17/261,783.96
  6. Step 6: Final answer
    x = 269,817.96

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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.