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Finding the Fourth Proportional to 257,446,410.40, 386,169,615.60 and 206,428,074.40

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Solution

The fourth proportional to 257,446,410.40, 386,169,615.60 and 206,428,074.40 is: 309,642,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,446,410.40 : 386,169,615.60 = 206,428,074.40 : x
  2. Step 2: Convert to fraction form
    257,446,410.40/386,169,615.60 = 206,428,074.40/x
  3. Step 3: Cross multiply
    257,446,410.40x = 386,169,615.60 × 206,428,074.40
  4. Step 4: Simplify right side
    257,446,410.40x = 79,716,250,140,096,208
  5. Step 5: Solve for x
    x = 79,716,250,140,096,208/257,446,410.40
  6. Step 6: Final answer
    x = 309,642,111.60

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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.