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Finding the Fourth Proportional to 302,813.38, 454,221.78 and 78,158.45

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Solution

The fourth proportional to 302,813.38, 454,221.78 and 78,158.45 is: 117,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,813.38 : 454,221.78 = 78,158.45 : x
  2. Step 2: Convert to fraction form
    302,813.38/454,221.78 = 78,158.45/x
  3. Step 3: Cross multiply
    302,813.38x = 454,221.78 × 78,158.45
  4. Step 4: Simplify right side
    302,813.38x = 35,501,271,782.96
  5. Step 5: Solve for x
    x = 35,501,271,782.96/302,813.38
  6. Step 6: Final answer
    x = 117,238.12

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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.