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Finding the Fourth Proportional to 255,232.64, 382,849.08 and 105,308.15

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Solution

The fourth proportional to 255,232.64, 382,849.08 and 105,308.15 is: 157,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,232.64 : 382,849.08 = 105,308.15 : x
  2. Step 2: Convert to fraction form
    255,232.64/382,849.08 = 105,308.15/x
  3. Step 3: Cross multiply
    255,232.64x = 382,849.08 × 105,308.15
  4. Step 4: Simplify right side
    255,232.64x = 40,317,126,034.85
  5. Step 5: Solve for x
    x = 40,317,126,034.85/255,232.64
  6. Step 6: Final answer
    x = 157,962.27

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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.