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Finding the Fourth Proportional to 406,441.40, 609,662.10 and 248,847.80

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Solution

The fourth proportional to 406,441.40, 609,662.10 and 248,847.80 is: 373,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,441.40 : 609,662.10 = 248,847.80 : x
  2. Step 2: Convert to fraction form
    406,441.40/609,662.10 = 248,847.80/x
  3. Step 3: Cross multiply
    406,441.40x = 609,662.10 × 248,847.80
  4. Step 4: Simplify right side
    406,441.40x = 151,713,072,328.38
  5. Step 5: Solve for x
    x = 151,713,072,328.38/406,441.40
  6. Step 6: Final answer
    x = 373,271.70

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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.