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Finding the Fourth Proportional to 307,205.18, 460,807.41 and 85,589.18

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Solution

The fourth proportional to 307,205.18, 460,807.41 and 85,589.18 is: 128,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,205.18 : 460,807.41 = 85,589.18 : x
  2. Step 2: Convert to fraction form
    307,205.18/460,807.41 = 85,589.18/x
  3. Step 3: Cross multiply
    307,205.18x = 460,807.41 × 85,589.18
  4. Step 4: Simplify right side
    307,205.18x = 39,440,128,359.82
  5. Step 5: Solve for x
    x = 39,440,128,359.82/307,205.18
  6. Step 6: Final answer
    x = 128,383.67

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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.