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Finding the Fourth Proportional to 377,467.34, 520,889.31 and 205,386.02

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Solution

The fourth proportional to 377,467.34, 520,889.31 and 205,386.02 is: 283,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,467.34 : 520,889.31 = 205,386.02 : x
  2. Step 2: Convert to fraction form
    377,467.34/520,889.31 = 205,386.02/x
  3. Step 3: Cross multiply
    377,467.34x = 520,889.31 × 205,386.02
  4. Step 4: Simplify right side
    377,467.34x = 106,983,379,637.00
  5. Step 5: Solve for x
    x = 106,983,379,637.00/377,467.34
  6. Step 6: Final answer
    x = 283,424.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.