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Finding the Fourth Proportional to 302,679.54, 454,045.44 and 78,038.04

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Solution

The fourth proportional to 302,679.54, 454,045.44 and 78,038.04 is: 117,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,679.54 : 454,045.44 = 78,038.04 : x
  2. Step 2: Convert to fraction form
    302,679.54/454,045.44 = 78,038.04/x
  3. Step 3: Cross multiply
    302,679.54x = 454,045.44 × 78,038.04
  4. Step 4: Simplify right side
    302,679.54x = 35,432,816,208.54
  5. Step 5: Solve for x
    x = 35,432,816,208.54/302,679.54
  6. Step 6: Final answer
    x = 117,063.80

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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.