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Finding the Fourth Proportional to 277,978.37, 417,428.84 and 173,461.64

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Solution

The fourth proportional to 277,978.37, 417,428.84 and 173,461.64 is: 260,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,978.37 : 417,428.84 = 173,461.64 : x
  2. Step 2: Convert to fraction form
    277,978.37/417,428.84 = 173,461.64/x
  3. Step 3: Cross multiply
    277,978.37x = 417,428.84 × 173,461.64
  4. Step 4: Simplify right side
    277,978.37x = 72,407,889,516.21
  5. Step 5: Solve for x
    x = 72,407,889,516.21/277,978.37
  6. Step 6: Final answer
    x = 260,480.31

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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.