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Finding the Fourth Proportional to 375,492.72, 518,181.12 and 203,412.48

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Solution

The fourth proportional to 375,492.72, 518,181.12 and 203,412.48 is: 280,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,492.72 : 518,181.12 = 203,412.48 : x
  2. Step 2: Convert to fraction form
    375,492.72/518,181.12 = 203,412.48/x
  3. Step 3: Cross multiply
    375,492.72x = 518,181.12 × 203,412.48
  4. Step 4: Simplify right side
    375,492.72x = 105,404,506,708.38
  5. Step 5: Solve for x
    x = 105,404,506,708.38/375,492.72
  6. Step 6: Final answer
    x = 280,709.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.