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Finding the Fourth Proportional to 702,900, 970,176.96 and 401,268.96

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Solution

The fourth proportional to 702,900, 970,176.96 and 401,268.96 is: 553,851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,900 : 970,176.96 = 401,268.96 : x
  2. Step 2: Convert to fraction form
    702,900/970,176.96 = 401,268.96/x
  3. Step 3: Cross multiply
    702,900x = 970,176.96 × 401,268.96
  4. Step 4: Simplify right side
    702,900x = 389,301,899,755.16
  5. Step 5: Solve for x
    x = 389,301,899,755.16/702,900
  6. Step 6: Final answer
    x = 553,851.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.