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Finding the Fourth Proportional to 470,810.86, 649,711.33 and 255,956.29

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Solution

The fourth proportional to 470,810.86, 649,711.33 and 255,956.29 is: 353,215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,810.86 : 649,711.33 = 255,956.29 : x
  2. Step 2: Convert to fraction form
    470,810.86/649,711.33 = 255,956.29/x
  3. Step 3: Cross multiply
    470,810.86x = 649,711.33 × 255,956.29
  4. Step 4: Simplify right side
    470,810.86x = 166,297,701,597.77
  5. Step 5: Solve for x
    x = 166,297,701,597.77/470,810.86
  6. Step 6: Final answer
    x = 353,215.52

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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.