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Finding the Fourth Proportional to 313,639.49, 470,459.60 and 85,937.05

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Solution

The fourth proportional to 313,639.49, 470,459.60 and 85,937.05 is: 128,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,639.49 : 470,459.60 = 85,937.05 : x
  2. Step 2: Convert to fraction form
    313,639.49/470,459.60 = 85,937.05/x
  3. Step 3: Cross multiply
    313,639.49x = 470,459.60 × 85,937.05
  4. Step 4: Simplify right side
    313,639.49x = 40,429,909,206.87
  5. Step 5: Solve for x
    x = 40,429,909,206.87/313,639.49
  6. Step 6: Final answer
    x = 128,905.67

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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.