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Finding the Fourth Proportional to 457,189, 630,775.02 and 296,167.48

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Solution

The fourth proportional to 457,189, 630,775.02 and 296,167.48 is: 408,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,189 : 630,775.02 = 296,167.48 : x
  2. Step 2: Convert to fraction form
    457,189/630,775.02 = 296,167.48/x
  3. Step 3: Cross multiply
    457,189x = 630,775.02 × 296,167.48
  4. Step 4: Simplify right side
    457,189x = 186,815,048,120.35
  5. Step 5: Solve for x
    x = 186,815,048,120.35/457,189
  6. Step 6: Final answer
    x = 408,616.67

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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.