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Finding the Fourth Proportional to 470,229.60, 704,307.60 and 408,021.60

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Solution

The fourth proportional to 470,229.60, 704,307.60 and 408,021.60 is: 611,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,229.60 : 704,307.60 = 408,021.60 : x
  2. Step 2: Convert to fraction form
    470,229.60/704,307.60 = 408,021.60/x
  3. Step 3: Cross multiply
    470,229.60x = 704,307.60 × 408,021.60
  4. Step 4: Simplify right side
    470,229.60x = 287,372,713,844.16
  5. Step 5: Solve for x
    x = 287,372,713,844.16/470,229.60
  6. Step 6: Final answer
    x = 611,132.76

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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.