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Finding the Fourth Proportional to 347,455.80, 520,794.90 and 147,742.20

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Solution

The fourth proportional to 347,455.80, 520,794.90 and 147,742.20 is: 221,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,455.80 : 520,794.90 = 147,742.20 : x
  2. Step 2: Convert to fraction form
    347,455.80/520,794.90 = 147,742.20/x
  3. Step 3: Cross multiply
    347,455.80x = 520,794.90 × 147,742.20
  4. Step 4: Simplify right side
    347,455.80x = 76,943,384,274.78
  5. Step 5: Solve for x
    x = 76,943,384,274.78/347,455.80
  6. Step 6: Final answer
    x = 221,447.98

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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.