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Finding the Fourth Proportional to 389,687.80, 537,823.38 and 228,595

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Solution

The fourth proportional to 389,687.80, 537,823.38 and 228,595 is: 315,492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,687.80 : 537,823.38 = 228,595 : x
  2. Step 2: Convert to fraction form
    389,687.80/537,823.38 = 228,595/x
  3. Step 3: Cross multiply
    389,687.80x = 537,823.38 × 228,595
  4. Step 4: Simplify right side
    389,687.80x = 122,943,735,551.10
  5. Step 5: Solve for x
    x = 122,943,735,551.10/389,687.80
  6. Step 6: Final answer
    x = 315,492.90

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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.