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Finding the Fourth Proportional to 413,840, 620,760 and 118,352

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Solution

The fourth proportional to 413,840, 620,760 and 118,352 is: 177,528

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,840 : 620,760 = 118,352 : x
  2. Step 2: Convert to fraction form
    413,840/620,760 = 118,352/x
  3. Step 3: Cross multiply
    413,840x = 620,760 × 118,352
  4. Step 4: Simplify right side
    413,840x = 73,468,187,520
  5. Step 5: Solve for x
    x = 73,468,187,520/413,840
  6. Step 6: Final answer
    x = 177,528

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.