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Finding the Fourth Proportional to 470,142.88, 648,636.92 and 300,474.88

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Solution

The fourth proportional to 470,142.88, 648,636.92 and 300,474.88 is: 414,552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,142.88 : 648,636.92 = 300,474.88 : x
  2. Step 2: Convert to fraction form
    470,142.88/648,636.92 = 300,474.88/x
  3. Step 3: Cross multiply
    470,142.88x = 648,636.92 × 300,474.88
  4. Step 4: Simplify right side
    470,142.88x = 194,899,100,700.57
  5. Step 5: Solve for x
    x = 194,899,100,700.57/470,142.88
  6. Step 6: Final answer
    x = 414,552.91

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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.