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Finding the Fourth Proportional to 288,944.72, 432,829.56 and 235,826

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Solution

The fourth proportional to 288,944.72, 432,829.56 and 235,826 is: 353,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,944.72 : 432,829.56 = 235,826 : x
  2. Step 2: Convert to fraction form
    288,944.72/432,829.56 = 235,826/x
  3. Step 3: Cross multiply
    288,944.72x = 432,829.56 × 235,826
  4. Step 4: Simplify right side
    288,944.72x = 102,072,463,816.56
  5. Step 5: Solve for x
    x = 102,072,463,816.56/288,944.72
  6. Step 6: Final answer
    x = 353,259.49

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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.