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Finding the Fourth Proportional to 270,376, 405,564 and 73,384

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Solution

The fourth proportional to 270,376, 405,564 and 73,384 is: 110,076

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,376 : 405,564 = 73,384 : x
  2. Step 2: Convert to fraction form
    270,376/405,564 = 73,384/x
  3. Step 3: Cross multiply
    270,376x = 405,564 × 73,384
  4. Step 4: Simplify right side
    270,376x = 29,761,908,576
  5. Step 5: Solve for x
    x = 29,761,908,576/270,376
  6. Step 6: Final answer
    x = 110,076

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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.