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Finding the Fourth Proportional to 470,433.60, 704,613.60 and 408,225.60

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Solution

The fourth proportional to 470,433.60, 704,613.60 and 408,225.60 is: 611,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,433.60 : 704,613.60 = 408,225.60 : x
  2. Step 2: Convert to fraction form
    470,433.60/704,613.60 = 408,225.60/x
  3. Step 3: Cross multiply
    470,433.60x = 704,613.60 × 408,225.60
  4. Step 4: Simplify right side
    470,433.60x = 287,641,309,628.16
  5. Step 5: Solve for x
    x = 287,641,309,628.16/470,433.60
  6. Step 6: Final answer
    x = 611,438.70

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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.