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Finding the Fourth Proportional to 406,846.72, 610,120.32 and 140,538.88

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Solution

The fourth proportional to 406,846.72, 610,120.32 and 140,538.88 is: 210,756.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,846.72 : 610,120.32 = 140,538.88 : x
  2. Step 2: Convert to fraction form
    406,846.72/610,120.32 = 140,538.88/x
  3. Step 3: Cross multiply
    406,846.72x = 610,120.32 × 140,538.88
  4. Step 4: Simplify right side
    406,846.72x = 85,745,626,438.04
  5. Step 5: Solve for x
    x = 85,745,626,438.04/406,846.72
  6. Step 6: Final answer
    x = 210,756.59

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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.