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Finding the Fourth Proportional to 377,313.60, 565,970.40 and 127,997.76

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Solution

The fourth proportional to 377,313.60, 565,970.40 and 127,997.76 is: 191,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,313.60 : 565,970.40 = 127,997.76 : x
  2. Step 2: Convert to fraction form
    377,313.60/565,970.40 = 127,997.76/x
  3. Step 3: Cross multiply
    377,313.60x = 565,970.40 × 127,997.76
  4. Step 4: Simplify right side
    377,313.60x = 72,442,943,426.30
  5. Step 5: Solve for x
    x = 72,442,943,426.30/377,313.60
  6. Step 6: Final answer
    x = 191,996.64

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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.