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Finding the Fourth Proportional to 307,640.70, 461,547.45 and 149,874.30

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Solution

The fourth proportional to 307,640.70, 461,547.45 and 149,874.30 is: 224,853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,640.70 : 461,547.45 = 149,874.30 : x
  2. Step 2: Convert to fraction form
    307,640.70/461,547.45 = 149,874.30/x
  3. Step 3: Cross multiply
    307,640.70x = 461,547.45 × 149,874.30
  4. Step 4: Simplify right side
    307,640.70x = 69,174,100,985.54
  5. Step 5: Solve for x
    x = 69,174,100,985.54/307,640.70
  6. Step 6: Final answer
    x = 224,853.54

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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.