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Finding the Fourth Proportional to 347,004.70, 520,021.05 and 276,048.70

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Solution

The fourth proportional to 347,004.70, 520,021.05 and 276,048.70 is: 413,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,004.70 : 520,021.05 = 276,048.70 : x
  2. Step 2: Convert to fraction form
    347,004.70/520,021.05 = 276,048.70/x
  3. Step 3: Cross multiply
    347,004.70x = 520,021.05 × 276,048.70
  4. Step 4: Simplify right side
    347,004.70x = 143,551,134,825.14
  5. Step 5: Solve for x
    x = 143,551,134,825.14/347,004.70
  6. Step 6: Final answer
    x = 413,686.43

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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.