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Finding the Fourth Proportional to 302,642.81, 417,638.52 and 173,602.81

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Solution

The fourth proportional to 302,642.81, 417,638.52 and 173,602.81 is: 239,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,642.81 : 417,638.52 = 173,602.81 : x
  2. Step 2: Convert to fraction form
    302,642.81/417,638.52 = 173,602.81/x
  3. Step 3: Cross multiply
    302,642.81x = 417,638.52 × 173,602.81
  4. Step 4: Simplify right side
    302,642.81x = 72,503,219,592.14
  5. Step 5: Solve for x
    x = 72,503,219,592.14/302,642.81
  6. Step 6: Final answer
    x = 239,566.97

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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.