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Finding the Fourth Proportional to 380,297.97, 570,409.74 and 99,815.22

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Solution

The fourth proportional to 380,297.97, 570,409.74 and 99,815.22 is: 149,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,297.97 : 570,409.74 = 99,815.22 : x
  2. Step 2: Convert to fraction form
    380,297.97/570,409.74 = 99,815.22/x
  3. Step 3: Cross multiply
    380,297.97x = 570,409.74 × 99,815.22
  4. Step 4: Simplify right side
    380,297.97x = 56,935,573,688.24
  5. Step 5: Solve for x
    x = 56,935,573,688.24/380,297.97
  6. Step 6: Final answer
    x = 149,713.06

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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.