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Finding the Fourth Proportional to 702,969.50, 970,115.94 and 431,187.56

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Solution

The fourth proportional to 702,969.50, 970,115.94 and 431,187.56 is: 595,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,969.50 : 970,115.94 = 431,187.56 : x
  2. Step 2: Convert to fraction form
    702,969.50/970,115.94 = 431,187.56/x
  3. Step 3: Cross multiply
    702,969.50x = 970,115.94 × 431,187.56
  4. Step 4: Simplify right side
    702,969.50x = 418,301,925,085.71
  5. Step 5: Solve for x
    x = 418,301,925,085.71/702,969.50
  6. Step 6: Final answer
    x = 595,049.89

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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.