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Finding the Fourth Proportional to 288,814.82, 433,223.45 and 189,602.78

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Solution

The fourth proportional to 288,814.82, 433,223.45 and 189,602.78 is: 284,404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,814.82 : 433,223.45 = 189,602.78 : x
  2. Step 2: Convert to fraction form
    288,814.82/433,223.45 = 189,602.78/x
  3. Step 3: Cross multiply
    288,814.82x = 433,223.45 × 189,602.78
  4. Step 4: Simplify right side
    288,814.82x = 82,140,369,533.18
  5. Step 5: Solve for x
    x = 82,140,369,533.18/288,814.82
  6. Step 6: Final answer
    x = 284,404.97

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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.