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Finding the Fourth Proportional to 302,783.62, 417,821.34 and 181,930

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Solution

The fourth proportional to 302,783.62, 417,821.34 and 181,930 is: 251,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,783.62 : 417,821.34 = 181,930 : x
  2. Step 2: Convert to fraction form
    302,783.62/417,821.34 = 181,930/x
  3. Step 3: Cross multiply
    302,783.62x = 417,821.34 × 181,930
  4. Step 4: Simplify right side
    302,783.62x = 76,014,236,386.20
  5. Step 5: Solve for x
    x = 76,014,236,386.20/302,783.62
  6. Step 6: Final answer
    x = 251,051.35

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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.