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Finding the Fourth Proportional to 331,564.57, 457,559.10 and 180,661.57

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Solution

The fourth proportional to 331,564.57, 457,559.10 and 180,661.57 is: 249,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,564.57 : 457,559.10 = 180,661.57 : x
  2. Step 2: Convert to fraction form
    331,564.57/457,559.10 = 180,661.57/x
  3. Step 3: Cross multiply
    331,564.57x = 457,559.10 × 180,661.57
  4. Step 4: Simplify right side
    331,564.57x = 82,663,343,085.99
  5. Step 5: Solve for x
    x = 82,663,343,085.99/331,564.57
  6. Step 6: Final answer
    x = 249,312.96

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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.