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Finding the Fourth Proportional to 377,161.82, 519,752.46 and 312,724.60

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Solution

The fourth proportional to 377,161.82, 519,752.46 and 312,724.60 is: 430,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,161.82 : 519,752.46 = 312,724.60 : x
  2. Step 2: Convert to fraction form
    377,161.82/519,752.46 = 312,724.60/x
  3. Step 3: Cross multiply
    377,161.82x = 519,752.46 × 312,724.60
  4. Step 4: Simplify right side
    377,161.82x = 162,539,378,588.89
  5. Step 5: Solve for x
    x = 162,539,378,588.89/377,161.82
  6. Step 6: Final answer
    x = 430,953.95

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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.