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Finding the Fourth Proportional to 471,005.76, 649,984.74 and 256,145.24

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Solution

The fourth proportional to 471,005.76, 649,984.74 and 256,145.24 is: 353,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,005.76 : 649,984.74 = 256,145.24 : x
  2. Step 2: Convert to fraction form
    471,005.76/649,984.74 = 256,145.24/x
  3. Step 3: Cross multiply
    471,005.76x = 649,984.74 × 256,145.24
  4. Step 4: Simplify right side
    471,005.76x = 166,490,497,223.64
  5. Step 5: Solve for x
    x = 166,490,497,223.64/471,005.76
  6. Step 6: Final answer
    x = 353,478.69

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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.