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Finding the Fourth Proportional to 276,828.60, 414,368.10 and 217,342.20

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Solution

The fourth proportional to 276,828.60, 414,368.10 and 217,342.20 is: 325,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,828.60 : 414,368.10 = 217,342.20 : x
  2. Step 2: Convert to fraction form
    276,828.60/414,368.10 = 217,342.20/x
  3. Step 3: Cross multiply
    276,828.60x = 414,368.10 × 217,342.20
  4. Step 4: Simplify right side
    276,828.60x = 90,059,674,463.82
  5. Step 5: Solve for x
    x = 90,059,674,463.82/276,828.60
  6. Step 6: Final answer
    x = 325,326.48

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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.