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Finding the Fourth Proportional to 375,688.16, 518,446.72 and 205,921.92

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Solution

The fourth proportional to 375,688.16, 518,446.72 and 205,921.92 is: 284,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,688.16 : 518,446.72 = 205,921.92 : x
  2. Step 2: Convert to fraction form
    375,688.16/518,446.72 = 205,921.92/x
  3. Step 3: Cross multiply
    375,688.16x = 518,446.72 × 205,921.92
  4. Step 4: Simplify right side
    375,688.16x = 106,759,544,000.10
  5. Step 5: Solve for x
    x = 106,759,544,000.10/375,688.16
  6. Step 6: Final answer
    x = 284,170.64

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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.