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Finding the Fourth Proportional to 264,795.20, 397,154.40 and 77,787.20

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Solution

The fourth proportional to 264,795.20, 397,154.40 and 77,787.20 is: 116,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,795.20 : 397,154.40 = 77,787.20 : x
  2. Step 2: Convert to fraction form
    264,795.20/397,154.40 = 77,787.20/x
  3. Step 3: Cross multiply
    264,795.20x = 397,154.40 × 77,787.20
  4. Step 4: Simplify right side
    264,795.20x = 30,893,528,743.68
  5. Step 5: Solve for x
    x = 30,893,528,743.68/264,795.20
  6. Step 6: Final answer
    x = 116,669.52

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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.