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Finding the Fourth Proportional to 470,311.76, 649,038.78 and 266,405.02

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Solution

The fourth proportional to 470,311.76, 649,038.78 and 266,405.02 is: 367,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,311.76 : 649,038.78 = 266,405.02 : x
  2. Step 2: Convert to fraction form
    470,311.76/649,038.78 = 266,405.02/x
  3. Step 3: Cross multiply
    470,311.76x = 649,038.78 × 266,405.02
  4. Step 4: Simplify right side
    470,311.76x = 172,907,189,166.68
  5. Step 5: Solve for x
    x = 172,907,189,166.68/470,311.76
  6. Step 6: Final answer
    x = 367,643.77

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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.