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Finding the Fourth Proportional to 470,461.60, 707,092.16 and 221,318.56

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Solution

The fourth proportional to 470,461.60, 707,092.16 and 221,318.56 is: 332,636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,461.60 : 707,092.16 = 221,318.56 : x
  2. Step 2: Convert to fraction form
    470,461.60/707,092.16 = 221,318.56/x
  3. Step 3: Cross multiply
    470,461.60x = 707,092.16 × 221,318.56
  4. Step 4: Simplify right side
    470,461.60x = 156,492,618,638.49
  5. Step 5: Solve for x
    x = 156,492,618,638.49/470,461.60
  6. Step 6: Final answer
    x = 332,636.33

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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.