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Finding the Fourth Proportional to 331,762.56, 457,830 and 180,860.64

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Solution

The fourth proportional to 331,762.56, 457,830 and 180,860.64 is: 249,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,762.56 : 457,830 = 180,860.64 : x
  2. Step 2: Convert to fraction form
    331,762.56/457,830 = 180,860.64/x
  3. Step 3: Cross multiply
    331,762.56x = 457,830 × 180,860.64
  4. Step 4: Simplify right side
    331,762.56x = 82,803,426,811.20
  5. Step 5: Solve for x
    x = 82,803,426,811.20/331,762.56
  6. Step 6: Final answer
    x = 249,586.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.