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Finding the Fourth Proportional to 253,643.76, 380,468.88 and 120,537

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Solution

The fourth proportional to 253,643.76, 380,468.88 and 120,537 is: 180,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,643.76 : 380,468.88 = 120,537 : x
  2. Step 2: Convert to fraction form
    253,643.76/380,468.88 = 120,537/x
  3. Step 3: Cross multiply
    253,643.76x = 380,468.88 × 120,537
  4. Step 4: Simplify right side
    253,643.76x = 45,860,577,388.56
  5. Step 5: Solve for x
    x = 45,860,577,388.56/253,643.76
  6. Step 6: Final answer
    x = 180,807.04

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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.