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Finding the Fourth Proportional to 309,401.80, 463,659.90 and 176,000.20

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Solution

The fourth proportional to 309,401.80, 463,659.90 and 176,000.20 is: 263,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,401.80 : 463,659.90 = 176,000.20 : x
  2. Step 2: Convert to fraction form
    309,401.80/463,659.90 = 176,000.20/x
  3. Step 3: Cross multiply
    309,401.80x = 463,659.90 × 176,000.20
  4. Step 4: Simplify right side
    309,401.80x = 81,604,235,131.98
  5. Step 5: Solve for x
    x = 81,604,235,131.98/309,401.80
  6. Step 6: Final answer
    x = 263,748.42

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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.