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Finding the Fourth Proportional to 288,813.76, 433,221.85 and 189,601.72

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Solution

The fourth proportional to 288,813.76, 433,221.85 and 189,601.72 is: 284,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,813.76 : 433,221.85 = 189,601.72 : x
  2. Step 2: Convert to fraction form
    288,813.76/433,221.85 = 189,601.72/x
  3. Step 3: Cross multiply
    288,813.76x = 433,221.85 × 189,601.72
  4. Step 4: Simplify right side
    288,813.76x = 82,139,607,055.53
  5. Step 5: Solve for x
    x = 82,139,607,055.53/288,813.76
  6. Step 6: Final answer
    x = 284,403.37

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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.