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Finding the Fourth Proportional to 409,261.60, 613,988.76 and 128,778.76

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Solution

The fourth proportional to 409,261.60, 613,988.76 and 128,778.76 is: 193,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,261.60 : 613,988.76 = 128,778.76 : x
  2. Step 2: Convert to fraction form
    409,261.60/613,988.76 = 128,778.76/x
  3. Step 3: Cross multiply
    409,261.60x = 613,988.76 × 128,778.76
  4. Step 4: Simplify right side
    409,261.60x = 79,068,711,166.74
  5. Step 5: Solve for x
    x = 79,068,711,166.74/409,261.60
  6. Step 6: Final answer
    x = 193,198.46

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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.