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Finding the Fourth Proportional to 288,628.55, 398,047.83 and 186,546.68

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Solution

The fourth proportional to 288,628.55, 398,047.83 and 186,546.68 is: 257,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,628.55 : 398,047.83 = 186,546.68 : x
  2. Step 2: Convert to fraction form
    288,628.55/398,047.83 = 186,546.68/x
  3. Step 3: Cross multiply
    288,628.55x = 398,047.83 × 186,546.68
  4. Step 4: Simplify right side
    288,628.55x = 74,254,501,167.70
  5. Step 5: Solve for x
    x = 74,254,501,167.70/288,628.55
  6. Step 6: Final answer
    x = 257,266.65

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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.