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Finding the Fourth Proportional to 702,963.70, 970,090.43 and 380,674.15

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Solution

The fourth proportional to 702,963.70, 970,090.43 and 380,674.15 is: 525,330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,963.70 : 970,090.43 = 380,674.15 : x
  2. Step 2: Convert to fraction form
    702,963.70/970,090.43 = 380,674.15/x
  3. Step 3: Cross multiply
    702,963.70x = 970,090.43 × 380,674.15
  4. Step 4: Simplify right side
    702,963.70x = 369,288,343,109.56
  5. Step 5: Solve for x
    x = 369,288,343,109.56/702,963.70
  6. Step 6: Final answer
    x = 525,330.60

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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.