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Finding the Fourth Proportional to 346,729.54, 520,174.14 and 147,057.70

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Solution

The fourth proportional to 346,729.54, 520,174.14 and 147,057.70 is: 220,620.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,729.54 : 520,174.14 = 147,057.70 : x
  2. Step 2: Convert to fraction form
    346,729.54/520,174.14 = 147,057.70/x
  3. Step 3: Cross multiply
    346,729.54x = 520,174.14 × 147,057.70
  4. Step 4: Simplify right side
    346,729.54x = 76,495,612,627.88
  5. Step 5: Solve for x
    x = 76,495,612,627.88/346,729.54
  6. Step 6: Final answer
    x = 220,620.41

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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.