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Finding the Fourth Proportional to 253,699.60, 380,283.72 and 85,178.56

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Solution

The fourth proportional to 253,699.60, 380,283.72 and 85,178.56 is: 127,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,699.60 : 380,283.72 = 85,178.56 : x
  2. Step 2: Convert to fraction form
    253,699.60/380,283.72 = 85,178.56/x
  3. Step 3: Cross multiply
    253,699.60x = 380,283.72 × 85,178.56
  4. Step 4: Simplify right side
    253,699.60x = 32,392,019,661.04
  5. Step 5: Solve for x
    x = 32,392,019,661.04/253,699.60
  6. Step 6: Final answer
    x = 127,678.64

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1.5x scale

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.