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Finding the Fourth Proportional to 702,932.70, 970,051.73 and 380,642.81

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Solution

The fourth proportional to 702,932.70, 970,051.73 and 380,642.81 is: 525,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,932.70 : 970,051.73 = 380,642.81 : x
  2. Step 2: Convert to fraction form
    702,932.70/970,051.73 = 380,642.81/x
  3. Step 3: Cross multiply
    702,932.70x = 970,051.73 × 380,642.81
  4. Step 4: Simplify right side
    702,932.70x = 369,243,216,874.48
  5. Step 5: Solve for x
    x = 369,243,216,874.48/702,932.70
  6. Step 6: Final answer
    x = 525,289.57

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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.