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Finding the Fourth Proportional to 702,929.19, 970,046.89 and 380,639.30

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Solution

The fourth proportional to 702,929.19, 970,046.89 and 380,639.30 is: 525,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,929.19 : 970,046.89 = 380,639.30 : x
  2. Step 2: Convert to fraction form
    702,929.19/970,046.89 = 380,639.30/x
  3. Step 3: Cross multiply
    702,929.19x = 970,046.89 × 380,639.30
  4. Step 4: Simplify right side
    702,929.19x = 369,237,972,553.49
  5. Step 5: Solve for x
    x = 369,237,972,553.49/702,929.19
  6. Step 6: Final answer
    x = 525,284.73

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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.