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Finding the Fourth Proportional to 302,858.31, 417,915.90 and 178,659.91

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Solution

The fourth proportional to 302,858.31, 417,915.90 and 178,659.91 is: 246,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,858.31 : 417,915.90 = 178,659.91 : x
  2. Step 2: Convert to fraction form
    302,858.31/417,915.90 = 178,659.91/x
  3. Step 3: Cross multiply
    302,858.31x = 417,915.90 × 178,659.91
  4. Step 4: Simplify right side
    302,858.31x = 74,664,816,036.78
  5. Step 5: Solve for x
    x = 74,664,816,036.78/302,858.31
  6. Step 6: Final answer
    x = 246,533.82

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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.