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Finding the Fourth Proportional to 975,876, 1,347,539.94 and 613,905.63

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Solution

The fourth proportional to 975,876, 1,347,539.94 and 613,905.63 is: 847,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,876 : 1,347,539.94 = 613,905.63 : x
  2. Step 2: Convert to fraction form
    975,876/1,347,539.94 = 613,905.63/x
  3. Step 3: Cross multiply
    975,876x = 1,347,539.94 × 613,905.63
  4. Step 4: Simplify right side
    975,876x = 827,262,355,815.86
  5. Step 5: Solve for x
    x = 827,262,355,815.86/975,876
  6. Step 6: Final answer
    x = 847,712.57

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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.