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Finding the Fourth Proportional to 261,884, 361,382.90 and 154,429.40

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Solution

The fourth proportional to 261,884, 361,382.90 and 154,429.40 is: 213,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,884 : 361,382.90 = 154,429.40 : x
  2. Step 2: Convert to fraction form
    261,884/361,382.90 = 154,429.40/x
  3. Step 3: Cross multiply
    261,884x = 361,382.90 × 154,429.40
  4. Step 4: Simplify right side
    261,884x = 55,808,144,417.26
  5. Step 5: Solve for x
    x = 55,808,144,417.26/261,884
  6. Step 6: Final answer
    x = 213,102.54

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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.