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Finding the Fourth Proportional to 289,617.75, 434,407.13 and 100,080.71

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Solution

The fourth proportional to 289,617.75, 434,407.13 and 100,080.71 is: 150,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,617.75 : 434,407.13 = 100,080.71 : x
  2. Step 2: Convert to fraction form
    289,617.75/434,407.13 = 100,080.71/x
  3. Step 3: Cross multiply
    289,617.75x = 434,407.13 × 100,080.71
  4. Step 4: Simplify right side
    289,617.75x = 43,475,771,327.02
  5. Step 5: Solve for x
    x = 43,475,771,327.02/289,617.75
  6. Step 6: Final answer
    x = 150,114.32

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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.