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Finding the Fourth Proportional to 406,941.40, 610,469.70 and 126,429.40

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Solution

The fourth proportional to 406,941.40, 610,469.70 and 126,429.40 is: 189,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,941.40 : 610,469.70 = 126,429.40 : x
  2. Step 2: Convert to fraction form
    406,941.40/610,469.70 = 126,429.40/x
  3. Step 3: Cross multiply
    406,941.40x = 610,469.70 × 126,429.40
  4. Step 4: Simplify right side
    406,941.40x = 77,181,317,889.18
  5. Step 5: Solve for x
    x = 77,181,317,889.18/406,941.40
  6. Step 6: Final answer
    x = 189,662.00

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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.