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Finding the Fourth Proportional to 470,769.12, 706,464.72 and 221,470.56

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Solution

The fourth proportional to 470,769.12, 706,464.72 and 221,470.56 is: 332,352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,769.12 : 706,464.72 = 221,470.56 : x
  2. Step 2: Convert to fraction form
    470,769.12/706,464.72 = 221,470.56/x
  3. Step 3: Cross multiply
    470,769.12x = 706,464.72 × 221,470.56
  4. Step 4: Simplify right side
    470,769.12x = 156,461,137,158.64
  5. Step 5: Solve for x
    x = 156,461,137,158.64/470,769.12
  6. Step 6: Final answer
    x = 332,352.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.