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Finding the Fourth Proportional to 406,743.92, 610,128.72 and 140,519.60

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Solution

The fourth proportional to 406,743.92, 610,128.72 and 140,519.60 is: 210,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,743.92 : 610,128.72 = 140,519.60 : x
  2. Step 2: Convert to fraction form
    406,743.92/610,128.72 = 140,519.60/x
  3. Step 3: Cross multiply
    406,743.92x = 610,128.72 × 140,519.60
  4. Step 4: Simplify right side
    406,743.92x = 85,735,043,682.91
  5. Step 5: Solve for x
    x = 85,735,043,682.91/406,743.92
  6. Step 6: Final answer
    x = 210,783.84

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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.