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Finding the Fourth Proportional to 702,932.31, 970,051.20 and 380,642.43

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Solution

The fourth proportional to 702,932.31, 970,051.20 and 380,642.43 is: 525,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,932.31 : 970,051.20 = 380,642.43 : x
  2. Step 2: Convert to fraction form
    702,932.31/970,051.20 = 380,642.43/x
  3. Step 3: Cross multiply
    702,932.31x = 970,051.20 × 380,642.43
  4. Step 4: Simplify right side
    702,932.31x = 369,242,645,992.42
  5. Step 5: Solve for x
    x = 369,242,645,992.42/702,932.31
  6. Step 6: Final answer
    x = 525,289.05

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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.