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Finding the Fourth Proportional to 470,748.53, 649,625.31 and 255,894

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Solution

The fourth proportional to 470,748.53, 649,625.31 and 255,894 is: 353,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,748.53 : 649,625.31 = 255,894 : x
  2. Step 2: Convert to fraction form
    470,748.53/649,625.31 = 255,894/x
  3. Step 3: Cross multiply
    470,748.53x = 649,625.31 × 255,894
  4. Step 4: Simplify right side
    470,748.53x = 166,235,219,077.14
  5. Step 5: Solve for x
    x = 166,235,219,077.14/470,748.53
  6. Step 6: Final answer
    x = 353,129.56

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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.