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Finding the Fourth Proportional to 406,771,806.40, 610,157,709.60 and 215,668,830.40

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Solution

The fourth proportional to 406,771,806.40, 610,157,709.60 and 215,668,830.40 is: 323,503,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,771,806.40 : 610,157,709.60 = 215,668,830.40 : x
  2. Step 2: Convert to fraction form
    406,771,806.40/610,157,709.60 = 215,668,830.40/x
  3. Step 3: Cross multiply
    406,771,806.40x = 610,157,709.60 × 215,668,830.40
  4. Step 4: Simplify right side
    406,771,806.40x = 131,591,999,588,974,864
  5. Step 5: Solve for x
    x = 131,591,999,588,974,864/406,771,806.40
  6. Step 6: Final answer
    x = 323,503,245.60

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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.