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Finding the Fourth Proportional to 254,252.40, 380,941.20 and 165,460.20

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Solution

The fourth proportional to 254,252.40, 380,941.20 and 165,460.20 is: 247,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,252.40 : 380,941.20 = 165,460.20 : x
  2. Step 2: Convert to fraction form
    254,252.40/380,941.20 = 165,460.20/x
  3. Step 3: Cross multiply
    254,252.40x = 380,941.20 × 165,460.20
  4. Step 4: Simplify right side
    254,252.40x = 63,030,607,140.24
  5. Step 5: Solve for x
    x = 63,030,607,140.24/254,252.40
  6. Step 6: Final answer
    x = 247,905.65

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1.5x scale

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.