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Finding the Fourth Proportional to 470,775.78, 649,674.74 and 255,916.19

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Solution

The fourth proportional to 470,775.78, 649,674.74 and 255,916.19 is: 353,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,775.78 : 649,674.74 = 255,916.19 : x
  2. Step 2: Convert to fraction form
    470,775.78/649,674.74 = 255,916.19/x
  3. Step 3: Cross multiply
    470,775.78x = 649,674.74 × 255,916.19
  4. Step 4: Simplify right side
    470,775.78x = 166,262,286,464.02
  5. Step 5: Solve for x
    x = 166,262,286,464.02/470,775.78
  6. Step 6: Final answer
    x = 353,166.61

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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.