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Finding the Fourth Proportional to 384,908.40, 531,156.86 and 210,475.40

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Solution

The fourth proportional to 384,908.40, 531,156.86 and 210,475.40 is: 290,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,908.40 : 531,156.86 = 210,475.40 : x
  2. Step 2: Convert to fraction form
    384,908.40/531,156.86 = 210,475.40/x
  3. Step 3: Cross multiply
    384,908.40x = 531,156.86 × 210,475.40
  4. Step 4: Simplify right side
    384,908.40x = 111,795,452,571.24
  5. Step 5: Solve for x
    x = 111,795,452,571.24/384,908.40
  6. Step 6: Final answer
    x = 290,446.90

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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.