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Finding the Fourth Proportional to 315,381.40, 435,366.30 and 213,554.68

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Solution

The fourth proportional to 315,381.40, 435,366.30 and 213,554.68 is: 294,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,381.40 : 435,366.30 = 213,554.68 : x
  2. Step 2: Convert to fraction form
    315,381.40/435,366.30 = 213,554.68/x
  3. Step 3: Cross multiply
    315,381.40x = 435,366.30 × 213,554.68
  4. Step 4: Simplify right side
    315,381.40x = 92,974,510,879.28
  5. Step 5: Solve for x
    x = 92,974,510,879.28/315,381.40
  6. Step 6: Final answer
    x = 294,800.24

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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.