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Finding the Fourth Proportional to 470,147.60, 705,610.20 and 217,816.40

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Solution

The fourth proportional to 470,147.60, 705,610.20 and 217,816.40 is: 326,904.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,147.60 : 705,610.20 = 217,816.40 : x
  2. Step 2: Convert to fraction form
    470,147.60/705,610.20 = 217,816.40/x
  3. Step 3: Cross multiply
    470,147.60x = 705,610.20 × 217,816.40
  4. Step 4: Simplify right side
    470,147.60x = 153,693,473,567.28
  5. Step 5: Solve for x
    x = 153,693,473,567.28/470,147.60
  6. Step 6: Final answer
    x = 326,904.73

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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.