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Finding the Fourth Proportional to 273,434.60, 410,151.90 and 256,813.40

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Solution

The fourth proportional to 273,434.60, 410,151.90 and 256,813.40 is: 385,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,434.60 : 410,151.90 = 256,813.40 : x
  2. Step 2: Convert to fraction form
    273,434.60/410,151.90 = 256,813.40/x
  3. Step 3: Cross multiply
    273,434.60x = 410,151.90 × 256,813.40
  4. Step 4: Simplify right side
    273,434.60x = 105,332,503,955.46
  5. Step 5: Solve for x
    x = 105,332,503,955.46/273,434.60
  6. Step 6: Final answer
    x = 385,220.10

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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.