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Finding the Fourth Proportional to 302,784.62, 417,822.72 and 181,931

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Solution

The fourth proportional to 302,784.62, 417,822.72 and 181,931 is: 251,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,784.62 : 417,822.72 = 181,931 : x
  2. Step 2: Convert to fraction form
    302,784.62/417,822.72 = 181,931/x
  3. Step 3: Cross multiply
    302,784.62x = 417,822.72 × 181,931
  4. Step 4: Simplify right side
    302,784.62x = 76,014,905,272.32
  5. Step 5: Solve for x
    x = 76,014,905,272.32/302,784.62
  6. Step 6: Final answer
    x = 251,052.73

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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.