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Finding the Fourth Proportional to 470,423.69, 649,185.53 and 255,564

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Solution

The fourth proportional to 470,423.69, 649,185.53 and 255,564 is: 352,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,423.69 : 649,185.53 = 255,564 : x
  2. Step 2: Convert to fraction form
    470,423.69/649,185.53 = 255,564/x
  3. Step 3: Cross multiply
    470,423.69x = 649,185.53 × 255,564
  4. Step 4: Simplify right side
    470,423.69x = 165,908,449,511.10
  5. Step 5: Solve for x
    x = 165,908,449,511.10/470,423.69
  6. Step 6: Final answer
    x = 352,678.78

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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.