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Finding the Fourth Proportional to 402,812.40, 604,199.40 and 136,546.80

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Solution

The fourth proportional to 402,812.40, 604,199.40 and 136,546.80 is: 204,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,812.40 : 604,199.40 = 136,546.80 : x
  2. Step 2: Convert to fraction form
    402,812.40/604,199.40 = 136,546.80/x
  3. Step 3: Cross multiply
    402,812.40x = 604,199.40 × 136,546.80
  4. Step 4: Simplify right side
    402,812.40x = 82,501,494,631.92
  5. Step 5: Solve for x
    x = 82,501,494,631.92/402,812.40
  6. Step 6: Final answer
    x = 204,813.69

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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.