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Finding the Fourth Proportional to 347,013.20, 520,033.80 and 276,057.20

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Solution

The fourth proportional to 347,013.20, 520,033.80 and 276,057.20 is: 413,699.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,013.20 : 520,033.80 = 276,057.20 : x
  2. Step 2: Convert to fraction form
    347,013.20/520,033.80 = 276,057.20/x
  3. Step 3: Cross multiply
    347,013.20x = 520,033.80 × 276,057.20
  4. Step 4: Simplify right side
    347,013.20x = 143,559,074,733.36
  5. Step 5: Solve for x
    x = 143,559,074,733.36/347,013.20
  6. Step 6: Final answer
    x = 413,699.18

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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.