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Finding the Fourth Proportional to 261,884.72, 392,999.34 and 143,639

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Solution

The fourth proportional to 261,884.72, 392,999.34 and 143,639 is: 215,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,884.72 : 392,999.34 = 143,639 : x
  2. Step 2: Convert to fraction form
    261,884.72/392,999.34 = 143,639/x
  3. Step 3: Cross multiply
    261,884.72x = 392,999.34 × 143,639
  4. Step 4: Simplify right side
    261,884.72x = 56,450,032,198.26
  5. Step 5: Solve for x
    x = 56,450,032,198.26/261,884.72
  6. Step 6: Final answer
    x = 215,552.98

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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.