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Finding the Fourth Proportional to 470,743.60, 705,078.60 and 408,535.60

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Solution

The fourth proportional to 470,743.60, 705,078.60 and 408,535.60 is: 611,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,743.60 : 705,078.60 = 408,535.60 : x
  2. Step 2: Convert to fraction form
    470,743.60/705,078.60 = 408,535.60/x
  3. Step 3: Cross multiply
    470,743.60x = 705,078.60 × 408,535.60
  4. Step 4: Simplify right side
    470,743.60x = 288,049,708,898.16
  5. Step 5: Solve for x
    x = 288,049,708,898.16/470,743.60
  6. Step 6: Final answer
    x = 611,903.61

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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.