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Finding the Fourth Proportional to 470,812.75, 706,530.17 and 221,514.19

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Solution

The fourth proportional to 470,812.75, 706,530.17 and 221,514.19 is: 332,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,812.75 : 706,530.17 = 221,514.19 : x
  2. Step 2: Convert to fraction form
    470,812.75/706,530.17 = 221,514.19/x
  3. Step 3: Cross multiply
    470,812.75x = 706,530.17 × 221,514.19
  4. Step 4: Simplify right side
    470,812.75x = 156,506,458,318.11
  5. Step 5: Solve for x
    x = 156,506,458,318.11/470,812.75
  6. Step 6: Final answer
    x = 332,417.63

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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.