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Finding the Fourth Proportional to 285,537.60, 427,384.80 and 263,419.20

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Solution

The fourth proportional to 285,537.60, 427,384.80 and 263,419.20 is: 394,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,537.60 : 427,384.80 = 263,419.20 : x
  2. Step 2: Convert to fraction form
    285,537.60/427,384.80 = 263,419.20/x
  3. Step 3: Cross multiply
    285,537.60x = 427,384.80 × 263,419.20
  4. Step 4: Simplify right side
    285,537.60x = 112,581,362,108.16
  5. Step 5: Solve for x
    x = 112,581,362,108.16/285,537.60
  6. Step 6: Final answer
    x = 394,278.59

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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.