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Finding the Fourth Proportional to 648,209.60, 972,022.80 and 293,040.80

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Solution

The fourth proportional to 648,209.60, 972,022.80 and 293,040.80 is: 439,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,209.60 : 972,022.80 = 293,040.80 : x
  2. Step 2: Convert to fraction form
    648,209.60/972,022.80 = 293,040.80/x
  3. Step 3: Cross multiply
    648,209.60x = 972,022.80 × 293,040.80
  4. Step 4: Simplify right side
    648,209.60x = 284,842,338,930.24
  5. Step 5: Solve for x
    x = 284,842,338,930.24/648,209.60
  6. Step 6: Final answer
    x = 439,429.37

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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.