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Finding the Fourth Proportional to 259,419.20, 388,840.80 and 101,595.20

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Solution

The fourth proportional to 259,419.20, 388,840.80 and 101,595.20 is: 152,280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,419.20 : 388,840.80 = 101,595.20 : x
  2. Step 2: Convert to fraction form
    259,419.20/388,840.80 = 101,595.20/x
  3. Step 3: Cross multiply
    259,419.20x = 388,840.80 × 101,595.20
  4. Step 4: Simplify right side
    259,419.20x = 39,504,358,844.16
  5. Step 5: Solve for x
    x = 39,504,358,844.16/259,419.20
  6. Step 6: Final answer
    x = 152,280.01

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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.