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Finding the Fourth Proportional to 283,360.94, 391,036.16 and 156,035.50

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Solution

The fourth proportional to 283,360.94, 391,036.16 and 156,035.50 is: 215,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,360.94 : 391,036.16 = 156,035.50 : x
  2. Step 2: Convert to fraction form
    283,360.94/391,036.16 = 156,035.50/x
  3. Step 3: Cross multiply
    283,360.94x = 391,036.16 × 156,035.50
  4. Step 4: Simplify right side
    283,360.94x = 61,015,522,743.68
  5. Step 5: Solve for x
    x = 61,015,522,743.68/283,360.94
  6. Step 6: Final answer
    x = 215,327.92

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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.