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Finding the Fourth Proportional to 646,897.86, 970,021.17 and 377,112.78

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Solution

The fourth proportional to 646,897.86, 970,021.17 and 377,112.78 is: 565,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,897.86 : 970,021.17 = 377,112.78 : x
  2. Step 2: Convert to fraction form
    646,897.86/970,021.17 = 377,112.78/x
  3. Step 3: Cross multiply
    646,897.86x = 970,021.17 × 377,112.78
  4. Step 4: Simplify right side
    646,897.86x = 365,807,380,077.55
  5. Step 5: Solve for x
    x = 365,807,380,077.55/646,897.86
  6. Step 6: Final answer
    x = 565,479.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.