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Finding the Fourth Proportional to 397,112.32, 548,018.64 and 215,824.74

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Solution

The fourth proportional to 397,112.32, 548,018.64 and 215,824.74 is: 297,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,112.32 : 548,018.64 = 215,824.74 : x
  2. Step 2: Convert to fraction form
    397,112.32/548,018.64 = 215,824.74/x
  3. Step 3: Cross multiply
    397,112.32x = 548,018.64 × 215,824.74
  4. Step 4: Simplify right side
    397,112.32x = 118,275,980,493.15
  5. Step 5: Solve for x
    x = 118,275,980,493.15/397,112.32
  6. Step 6: Final answer
    x = 297,840.12

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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.