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Finding the Fourth Proportional to 307,516.78, 424,362.90 and 180,189.64

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Solution

The fourth proportional to 307,516.78, 424,362.90 and 180,189.64 is: 248,655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,516.78 : 424,362.90 = 180,189.64 : x
  2. Step 2: Convert to fraction form
    307,516.78/424,362.90 = 180,189.64/x
  3. Step 3: Cross multiply
    307,516.78x = 424,362.90 × 180,189.64
  4. Step 4: Simplify right side
    307,516.78x = 76,465,798,180.36
  5. Step 5: Solve for x
    x = 76,465,798,180.36/307,516.78
  6. Step 6: Final answer
    x = 248,655.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.