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Finding the Fourth Proportional to 490,345.80, 735,504.06 and 135,381.48

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Solution

The fourth proportional to 490,345.80, 735,504.06 and 135,381.48 is: 203,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,345.80 : 735,504.06 = 135,381.48 : x
  2. Step 2: Convert to fraction form
    490,345.80/735,504.06 = 135,381.48/x
  3. Step 3: Cross multiply
    490,345.80x = 735,504.06 × 135,381.48
  4. Step 4: Simplify right side
    490,345.80x = 99,573,628,188.81
  5. Step 5: Solve for x
    x = 99,573,628,188.81/490,345.80
  6. Step 6: Final answer
    x = 203,068.18

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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.