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Finding the Fourth Proportional to 268,305.40, 402,458.10 and 264,368.80

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Solution

The fourth proportional to 268,305.40, 402,458.10 and 264,368.80 is: 396,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,305.40 : 402,458.10 = 264,368.80 : x
  2. Step 2: Convert to fraction form
    268,305.40/402,458.10 = 264,368.80/x
  3. Step 3: Cross multiply
    268,305.40x = 402,458.10 × 264,368.80
  4. Step 4: Simplify right side
    268,305.40x = 106,397,364,947.28
  5. Step 5: Solve for x
    x = 106,397,364,947.28/268,305.40
  6. Step 6: Final answer
    x = 396,553.20

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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.