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Finding the Fourth Proportional to 978,167.20, 1,467,688.20 and 472,532.80

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Solution

The fourth proportional to 978,167.20, 1,467,688.20 and 472,532.80 is: 709,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,167.20 : 1,467,688.20 = 472,532.80 : x
  2. Step 2: Convert to fraction form
    978,167.20/1,467,688.20 = 472,532.80/x
  3. Step 3: Cross multiply
    978,167.20x = 1,467,688.20 × 472,532.80
  4. Step 4: Simplify right side
    978,167.20x = 693,530,814,672.96
  5. Step 5: Solve for x
    x = 693,530,814,672.96/978,167.20
  6. Step 6: Final answer
    x = 709,010.50

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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.