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Finding the Fourth Proportional to 414,145.54, 570,110.43 and 306,512.74

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Solution

The fourth proportional to 414,145.54, 570,110.43 and 306,512.74 is: 421,943.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,145.54 : 570,110.43 = 306,512.74 : x
  2. Step 2: Convert to fraction form
    414,145.54/570,110.43 = 306,512.74/x
  3. Step 3: Cross multiply
    414,145.54x = 570,110.43 × 306,512.74
  4. Step 4: Simplify right side
    414,145.54x = 174,746,110,001.88
  5. Step 5: Solve for x
    x = 174,746,110,001.88/414,145.54
  6. Step 6: Final answer
    x = 421,943.72

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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.