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Finding the Fourth Proportional to 259,412.40, 388,902.60 and 109,767.60

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Solution

The fourth proportional to 259,412.40, 388,902.60 and 109,767.60 is: 164,560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,412.40 : 388,902.60 = 109,767.60 : x
  2. Step 2: Convert to fraction form
    259,412.40/388,902.60 = 109,767.60/x
  3. Step 3: Cross multiply
    259,412.40x = 388,902.60 × 109,767.60
  4. Step 4: Simplify right side
    259,412.40x = 42,688,905,035.76
  5. Step 5: Solve for x
    x = 42,688,905,035.76/259,412.40
  6. Step 6: Final answer
    x = 164,560.00

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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.