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Finding the Fourth Proportional to 683,980.80, 1,026,489.60 and 447,244.80

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Solution

The fourth proportional to 683,980.80, 1,026,489.60 and 447,244.80 is: 671,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,980.80 : 1,026,489.60 = 447,244.80 : x
  2. Step 2: Convert to fraction form
    683,980.80/1,026,489.60 = 447,244.80/x
  3. Step 3: Cross multiply
    683,980.80x = 1,026,489.60 × 447,244.80
  4. Step 4: Simplify right side
    683,980.80x = 459,092,135,854.08
  5. Step 5: Solve for x
    x = 459,092,135,854.08/683,980.80
  6. Step 6: Final answer
    x = 671,206.17

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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.