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Finding the Fourth Proportional to 406,533.56, 610,358.93 and 206,988.03

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Solution

The fourth proportional to 406,533.56, 610,358.93 and 206,988.03 is: 310,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,533.56 : 610,358.93 = 206,988.03 : x
  2. Step 2: Convert to fraction form
    406,533.56/610,358.93 = 206,988.03/x
  3. Step 3: Cross multiply
    406,533.56x = 610,358.93 × 206,988.03
  4. Step 4: Simplify right side
    406,533.56x = 126,336,993,031.08
  5. Step 5: Solve for x
    x = 126,336,993,031.08/406,533.56
  6. Step 6: Final answer
    x = 310,766.46

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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.