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Finding the Fourth Proportional to 288,814.76, 433,223.35 and 189,602.72

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Solution

The fourth proportional to 288,814.76, 433,223.35 and 189,602.72 is: 284,404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,814.76 : 433,223.35 = 189,602.72 : x
  2. Step 2: Convert to fraction form
    288,814.76/433,223.35 = 189,602.72/x
  3. Step 3: Cross multiply
    288,814.76x = 433,223.35 × 189,602.72
  4. Step 4: Simplify right side
    288,814.76x = 82,140,325,527.51
  5. Step 5: Solve for x
    x = 82,140,325,527.51/288,814.76
  6. Step 6: Final answer
    x = 284,404.87

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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.