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Finding the Fourth Proportional to 914,271, 1,371,141.72 and 274,548.90

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Solution

The fourth proportional to 914,271, 1,371,141.72 and 274,548.90 is: 411,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,271 : 1,371,141.72 = 274,548.90 : x
  2. Step 2: Convert to fraction form
    914,271/1,371,141.72 = 274,548.90/x
  3. Step 3: Cross multiply
    914,271x = 1,371,141.72 × 274,548.90
  4. Step 4: Simplify right side
    914,271x = 376,445,450,970.11
  5. Step 5: Solve for x
    x = 376,445,450,970.11/914,271
  6. Step 6: Final answer
    x = 411,743.84

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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.