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Finding the Fourth Proportional to 254,145.90, 380,959.65 and 148,910.70

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Solution

The fourth proportional to 254,145.90, 380,959.65 and 148,910.70 is: 223,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,145.90 : 380,959.65 = 148,910.70 : x
  2. Step 2: Convert to fraction form
    254,145.90/380,959.65 = 148,910.70/x
  3. Step 3: Cross multiply
    254,145.90x = 380,959.65 × 148,910.70
  4. Step 4: Simplify right side
    254,145.90x = 56,728,968,153.26
  5. Step 5: Solve for x
    x = 56,728,968,153.26/254,145.90
  6. Step 6: Final answer
    x = 223,214.18

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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.