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Finding the Fourth Proportional to 329,007.47, 493,410.74 and 139,464.28

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Solution

The fourth proportional to 329,007.47, 493,410.74 and 139,464.28 is: 209,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,007.47 : 493,410.74 = 139,464.28 : x
  2. Step 2: Convert to fraction form
    329,007.47/493,410.74 = 139,464.28/x
  3. Step 3: Cross multiply
    329,007.47x = 493,410.74 × 139,464.28
  4. Step 4: Simplify right side
    329,007.47x = 68,813,174,302.30
  5. Step 5: Solve for x
    x = 68,813,174,302.30/329,007.47
  6. Step 6: Final answer
    x = 209,153.84

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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.