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Finding the Fourth Proportional to 307,223.63, 460,913.21 and 85,607.63

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Solution

The fourth proportional to 307,223.63, 460,913.21 and 85,607.63 is: 128,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,223.63 : 460,913.21 = 85,607.63 : x
  2. Step 2: Convert to fraction form
    307,223.63/460,913.21 = 85,607.63/x
  3. Step 3: Cross multiply
    307,223.63x = 460,913.21 × 85,607.63
  4. Step 4: Simplify right side
    307,223.63x = 39,457,684,811.19
  5. Step 5: Solve for x
    x = 39,457,684,811.19/307,223.63
  6. Step 6: Final answer
    x = 128,433.11

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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.