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Finding the Fourth Proportional to 702,939.80, 970,055.12 and 380,649.88

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Solution

The fourth proportional to 702,939.80, 970,055.12 and 380,649.88 is: 525,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,939.80 : 970,055.12 = 380,649.88 : x
  2. Step 2: Convert to fraction form
    702,939.80/970,055.12 = 380,649.88/x
  3. Step 3: Cross multiply
    702,939.80x = 970,055.12 × 380,649.88
  4. Step 4: Simplify right side
    702,939.80x = 369,251,365,021.39
  5. Step 5: Solve for x
    x = 369,251,365,021.39/702,939.80
  6. Step 6: Final answer
    x = 525,295.86

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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.