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Finding the Fourth Proportional to 463,311.40, 694,967.10 and 147,800.20

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Solution

The fourth proportional to 463,311.40, 694,967.10 and 147,800.20 is: 221,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,311.40 : 694,967.10 = 147,800.20 : x
  2. Step 2: Convert to fraction form
    463,311.40/694,967.10 = 147,800.20/x
  3. Step 3: Cross multiply
    463,311.40x = 694,967.10 × 147,800.20
  4. Step 4: Simplify right side
    463,311.40x = 102,716,276,373.42
  5. Step 5: Solve for x
    x = 102,716,276,373.42/463,311.40
  6. Step 6: Final answer
    x = 221,700.30

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Similar ratio
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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.