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Finding the Fourth Proportional to 702,930.13, 970,048.18 and 380,640.24

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Solution

The fourth proportional to 702,930.13, 970,048.18 and 380,640.24 is: 525,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,930.13 : 970,048.18 = 380,640.24 : x
  2. Step 2: Convert to fraction form
    702,930.13/970,048.18 = 380,640.24/x
  3. Step 3: Cross multiply
    702,930.13x = 970,048.18 × 380,640.24
  4. Step 4: Simplify right side
    702,930.13x = 369,239,372,046.76
  5. Step 5: Solve for x
    x = 369,239,372,046.76/702,930.13
  6. Step 6: Final answer
    x = 525,286.02

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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.