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Finding the Fourth Proportional to 414,153.04, 570,120.78 and 306,520.24

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Solution

The fourth proportional to 414,153.04, 570,120.78 and 306,520.24 is: 421,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,153.04 : 570,120.78 = 306,520.24 : x
  2. Step 2: Convert to fraction form
    414,153.04/570,120.78 = 306,520.24/x
  3. Step 3: Cross multiply
    414,153.04x = 570,120.78 × 306,520.24
  4. Step 4: Simplify right side
    414,153.04x = 174,753,558,314.59
  5. Step 5: Solve for x
    x = 174,753,558,314.59/414,153.04
  6. Step 6: Final answer
    x = 421,954.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.