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Finding the Fourth Proportional to 470,390.56, 649,191.92 and 266,455.36

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Solution

The fourth proportional to 470,390.56, 649,191.92 and 266,455.36 is: 367,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,390.56 : 649,191.92 = 266,455.36 : x
  2. Step 2: Convert to fraction form
    470,390.56/649,191.92 = 266,455.36/x
  3. Step 3: Cross multiply
    470,390.56x = 649,191.92 × 266,455.36
  4. Step 4: Simplify right side
    470,390.56x = 172,980,666,752.69
  5. Step 5: Solve for x
    x = 172,980,666,752.69/470,390.56
  6. Step 6: Final answer
    x = 367,738.39

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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.