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Finding the Fourth Proportional to 302,676.64, 454,041.12 and 78,035.20

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Solution

The fourth proportional to 302,676.64, 454,041.12 and 78,035.20 is: 117,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,676.64 : 454,041.12 = 78,035.20 : x
  2. Step 2: Convert to fraction form
    302,676.64/454,041.12 = 78,035.20/x
  3. Step 3: Cross multiply
    302,676.64x = 454,041.12 × 78,035.20
  4. Step 4: Simplify right side
    302,676.64x = 35,431,189,607.42
  5. Step 5: Solve for x
    x = 35,431,189,607.42/302,676.64
  6. Step 6: Final answer
    x = 117,059.54

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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.