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Finding the Fourth Proportional to 470,720.76, 649,598.96 and 255,861.32

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Solution

The fourth proportional to 470,720.76, 649,598.96 and 255,861.32 is: 353,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,720.76 : 649,598.96 = 255,861.32 : x
  2. Step 2: Convert to fraction form
    470,720.76/649,598.96 = 255,861.32/x
  3. Step 3: Cross multiply
    470,720.76x = 649,598.96 × 255,861.32
  4. Step 4: Simplify right side
    470,720.76x = 166,207,247,376.23
  5. Step 5: Solve for x
    x = 166,207,247,376.23/470,720.76
  6. Step 6: Final answer
    x = 353,090.96

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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.