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Finding the Fourth Proportional to 409,627.86, 565,054.92 and 256,400.03

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Solution

The fourth proportional to 409,627.86, 565,054.92 and 256,400.03 is: 353,687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,627.86 : 565,054.92 = 256,400.03 : x
  2. Step 2: Convert to fraction form
    409,627.86/565,054.92 = 256,400.03/x
  3. Step 3: Cross multiply
    409,627.86x = 565,054.92 × 256,400.03
  4. Step 4: Simplify right side
    409,627.86x = 144,880,098,439.65
  5. Step 5: Solve for x
    x = 144,880,098,439.65/409,627.86
  6. Step 6: Final answer
    x = 353,687.12

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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.