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Finding the Fourth Proportional to 289,311.90, 433,967.85 and 76,079.40

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Solution

The fourth proportional to 289,311.90, 433,967.85 and 76,079.40 is: 114,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,311.90 : 433,967.85 = 76,079.40 : x
  2. Step 2: Convert to fraction form
    289,311.90/433,967.85 = 76,079.40/x
  3. Step 3: Cross multiply
    289,311.90x = 433,967.85 × 76,079.40
  4. Step 4: Simplify right side
    289,311.90x = 33,016,013,647.29
  5. Step 5: Solve for x
    x = 33,016,013,647.29/289,311.90
  6. Step 6: Final answer
    x = 114,119.10

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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.