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Finding the Fourth Proportional to 610,852.60, 916,716.30 and 256,121.20

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Solution

The fourth proportional to 610,852.60, 916,716.30 and 256,121.20 is: 384,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,852.60 : 916,716.30 = 256,121.20 : x
  2. Step 2: Convert to fraction form
    610,852.60/916,716.30 = 256,121.20/x
  3. Step 3: Cross multiply
    610,852.60x = 916,716.30 × 256,121.20
  4. Step 4: Simplify right side
    610,852.60x = 234,790,478,815.56
  5. Step 5: Solve for x
    x = 234,790,478,815.56/610,852.60
  6. Step 6: Final answer
    x = 384,365.20

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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.