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Finding the Fourth Proportional to 288,456.72, 432,097.56 and 235,338

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Solution

The fourth proportional to 288,456.72, 432,097.56 and 235,338 is: 352,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,456.72 : 432,097.56 = 235,338 : x
  2. Step 2: Convert to fraction form
    288,456.72/432,097.56 = 235,338/x
  3. Step 3: Cross multiply
    288,456.72x = 432,097.56 × 235,338
  4. Step 4: Simplify right side
    288,456.72x = 101,688,975,575.28
  5. Step 5: Solve for x
    x = 101,688,975,575.28/288,456.72
  6. Step 6: Final answer
    x = 352,527.67

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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.