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Finding the Fourth Proportional to 309,639.56, 464,401.02 and 120,099.56

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Solution

The fourth proportional to 309,639.56, 464,401.02 and 120,099.56 is: 180,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,639.56 : 464,401.02 = 120,099.56 : x
  2. Step 2: Convert to fraction form
    309,639.56/464,401.02 = 120,099.56/x
  3. Step 3: Cross multiply
    309,639.56x = 464,401.02 × 120,099.56
  4. Step 4: Simplify right side
    309,639.56x = 55,774,358,165.55
  5. Step 5: Solve for x
    x = 55,774,358,165.55/309,639.56
  6. Step 6: Final answer
    x = 180,126.72

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1.5x scale

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.