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Finding the Fourth Proportional to 254,907.20, 382,652.40 and 149,785.40

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Solution

The fourth proportional to 254,907.20, 382,652.40 and 149,785.40 is: 224,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,907.20 : 382,652.40 = 149,785.40 : x
  2. Step 2: Convert to fraction form
    254,907.20/382,652.40 = 149,785.40/x
  3. Step 3: Cross multiply
    254,907.20x = 382,652.40 × 149,785.40
  4. Step 4: Simplify right side
    254,907.20x = 57,315,742,794.96
  5. Step 5: Solve for x
    x = 57,315,742,794.96/254,907.20
  6. Step 6: Final answer
    x = 224,849.45

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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.