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Finding the Fourth Proportional to 255,099.60, 382,649.40 and 144,507.60

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Solution

The fourth proportional to 255,099.60, 382,649.40 and 144,507.60 is: 216,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,099.60 : 382,649.40 = 144,507.60 : x
  2. Step 2: Convert to fraction form
    255,099.60/382,649.40 = 144,507.60/x
  3. Step 3: Cross multiply
    255,099.60x = 382,649.40 × 144,507.60
  4. Step 4: Simplify right side
    255,099.60x = 55,295,746,435.44
  5. Step 5: Solve for x
    x = 55,295,746,435.44/255,099.60
  6. Step 6: Final answer
    x = 216,761.40

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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.