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Finding the Fourth Proportional to 406,742.40, 609,940.80 and 196,444.80

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Solution

The fourth proportional to 406,742.40, 609,940.80 and 196,444.80 is: 294,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,742.40 : 609,940.80 = 196,444.80 : x
  2. Step 2: Convert to fraction form
    406,742.40/609,940.80 = 196,444.80/x
  3. Step 3: Cross multiply
    406,742.40x = 609,940.80 × 196,444.80
  4. Step 4: Simplify right side
    406,742.40x = 119,819,698,467.84
  5. Step 5: Solve for x
    x = 119,819,698,467.84/406,742.40
  6. Step 6: Final answer
    x = 294,583.74

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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.