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Finding the Fourth Proportional to 262,385.63, 393,329.07 and 102,564.03

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Solution

The fourth proportional to 262,385.63, 393,329.07 and 102,564.03 is: 153,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,385.63 : 393,329.07 = 102,564.03 : x
  2. Step 2: Convert to fraction form
    262,385.63/393,329.07 = 102,564.03/x
  3. Step 3: Cross multiply
    262,385.63x = 393,329.07 × 102,564.03
  4. Step 4: Simplify right side
    262,385.63x = 40,341,414,535.35
  5. Step 5: Solve for x
    x = 40,341,414,535.35/262,385.63
  6. Step 6: Final answer
    x = 153,748.57

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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.