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Finding the Fourth Proportional to 470,420.55, 649,181.13 and 255,560.79

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Solution

The fourth proportional to 470,420.55, 649,181.13 and 255,560.79 is: 352,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,420.55 : 649,181.13 = 255,560.79 : x
  2. Step 2: Convert to fraction form
    470,420.55/649,181.13 = 255,560.79/x
  3. Step 3: Cross multiply
    470,420.55x = 649,181.13 × 255,560.79
  4. Step 4: Simplify right side
    470,420.55x = 165,905,242,435.89
  5. Step 5: Solve for x
    x = 165,905,242,435.89/470,420.55
  6. Step 6: Final answer
    x = 352,674.31

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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.