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Finding the Fourth Proportional to 510,121.60, 765,152.88 and 194,610.40

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Solution

The fourth proportional to 510,121.60, 765,152.88 and 194,610.40 is: 291,904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,121.60 : 765,152.88 = 194,610.40 : x
  2. Step 2: Convert to fraction form
    510,121.60/765,152.88 = 194,610.40/x
  3. Step 3: Cross multiply
    510,121.60x = 765,152.88 × 194,610.40
  4. Step 4: Simplify right side
    510,121.60x = 148,906,708,037.95
  5. Step 5: Solve for x
    x = 148,906,708,037.95/510,121.60
  6. Step 6: Final answer
    x = 291,904.34

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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.