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Finding the Fourth Proportional to 261,714.84, 391,751.82 and 180,186.21

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Solution

The fourth proportional to 261,714.84, 391,751.82 and 180,186.21 is: 269,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,714.84 : 391,751.82 = 180,186.21 : x
  2. Step 2: Convert to fraction form
    261,714.84/391,751.82 = 180,186.21/x
  3. Step 3: Cross multiply
    261,714.84x = 391,751.82 × 180,186.21
  4. Step 4: Simplify right side
    261,714.84x = 70,588,275,706.40
  5. Step 5: Solve for x
    x = 70,588,275,706.40/261,714.84
  6. Step 6: Final answer
    x = 269,714.46

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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.