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Finding the Fourth Proportional to 702,939.78, 970,055.14 and 380,649.86

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Solution

The fourth proportional to 702,939.78, 970,055.14 and 380,649.86 is: 525,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,939.78 : 970,055.14 = 380,649.86 : x
  2. Step 2: Convert to fraction form
    702,939.78/970,055.14 = 380,649.86/x
  3. Step 3: Cross multiply
    702,939.78x = 970,055.14 × 380,649.86
  4. Step 4: Simplify right side
    702,939.78x = 369,251,353,233.28
  5. Step 5: Solve for x
    x = 369,251,353,233.28/702,939.78
  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.