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Finding the Fourth Proportional to 288,940.72, 432,823.56 and 235,822

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Solution

The fourth proportional to 288,940.72, 432,823.56 and 235,822 is: 353,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,940.72 : 432,823.56 = 235,822 : x
  2. Step 2: Convert to fraction form
    288,940.72/432,823.56 = 235,822/x
  3. Step 3: Cross multiply
    288,940.72x = 432,823.56 × 235,822
  4. Step 4: Simplify right side
    288,940.72x = 102,069,317,566.32
  5. Step 5: Solve for x
    x = 102,069,317,566.32/288,940.72
  6. Step 6: Final answer
    x = 353,253.49

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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.