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Finding the Fourth Proportional to 255,422.64, 383,221.48 and 97,696.20

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Solution

The fourth proportional to 255,422.64, 383,221.48 and 97,696.20 is: 146,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,422.64 : 383,221.48 = 97,696.20 : x
  2. Step 2: Convert to fraction form
    255,422.64/383,221.48 = 97,696.20/x
  3. Step 3: Cross multiply
    255,422.64x = 383,221.48 × 97,696.20
  4. Step 4: Simplify right side
    255,422.64x = 37,439,282,354.38
  5. Step 5: Solve for x
    x = 37,439,282,354.38/255,422.64
  6. Step 6: Final answer
    x = 146,577.78

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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.