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Finding the Fourth Proportional to 383,401.10, 575,101.65 and 271,426.70

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Solution

The fourth proportional to 383,401.10, 575,101.65 and 271,426.70 is: 407,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,401.10 : 575,101.65 = 271,426.70 : x
  2. Step 2: Convert to fraction form
    383,401.10/575,101.65 = 271,426.70/x
  3. Step 3: Cross multiply
    383,401.10x = 575,101.65 × 271,426.70
  4. Step 4: Simplify right side
    383,401.10x = 156,097,943,024.06
  5. Step 5: Solve for x
    x = 156,097,943,024.06/383,401.10
  6. Step 6: Final answer
    x = 407,140.05

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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.