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Finding the Fourth Proportional to 255,425.60, 383,138.40 and 97,659.20

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Solution

The fourth proportional to 255,425.60, 383,138.40 and 97,659.20 is: 146,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,425.60 : 383,138.40 = 97,659.20 : x
  2. Step 2: Convert to fraction form
    255,425.60/383,138.40 = 97,659.20/x
  3. Step 3: Cross multiply
    255,425.60x = 383,138.40 × 97,659.20
  4. Step 4: Simplify right side
    255,425.60x = 37,416,989,633.28
  5. Step 5: Solve for x
    x = 37,416,989,633.28/255,425.60
  6. Step 6: Final answer
    x = 146,488.80

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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.