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Finding the Fourth Proportional to 256,848.64, 384,750.72 and 209,632

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Solution

The fourth proportional to 256,848.64, 384,750.72 and 209,632 is: 314,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,848.64 : 384,750.72 = 209,632 : x
  2. Step 2: Convert to fraction form
    256,848.64/384,750.72 = 209,632/x
  3. Step 3: Cross multiply
    256,848.64x = 384,750.72 × 209,632
  4. Step 4: Simplify right side
    256,848.64x = 80,656,062,935.04
  5. Step 5: Solve for x
    x = 80,656,062,935.04/256,848.64
  6. Step 6: Final answer
    x = 314,021.76

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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.