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Finding the Fourth Proportional to 299,485.54, 413,140.84 and 178,541.61

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Solution

The fourth proportional to 299,485.54, 413,140.84 and 178,541.61 is: 246,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,485.54 : 413,140.84 = 178,541.61 : x
  2. Step 2: Convert to fraction form
    299,485.54/413,140.84 = 178,541.61/x
  3. Step 3: Cross multiply
    299,485.54x = 413,140.84 × 178,541.61
  4. Step 4: Simplify right side
    299,485.54x = 73,762,830,730.35
  5. Step 5: Solve for x
    x = 73,762,830,730.35/299,485.54
  6. Step 6: Final answer
    x = 246,298.47

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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.