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Finding the Fourth Proportional to 285,533.60, 427,378.80 and 263,415.20

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Solution

The fourth proportional to 285,533.60, 427,378.80 and 263,415.20 is: 394,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,533.60 : 427,378.80 = 263,415.20 : x
  2. Step 2: Convert to fraction form
    285,533.60/427,378.80 = 263,415.20/x
  3. Step 3: Cross multiply
    285,533.60x = 427,378.80 × 263,415.20
  4. Step 4: Simplify right side
    285,533.60x = 112,578,072,077.76
  5. Step 5: Solve for x
    x = 112,578,072,077.76/285,533.60
  6. Step 6: Final answer
    x = 394,272.59

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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.