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Finding the Fourth Proportional to 648,217.60, 972,034.80 and 293,048.80

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Solution

The fourth proportional to 648,217.60, 972,034.80 and 293,048.80 is: 439,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,217.60 : 972,034.80 = 293,048.80 : x
  2. Step 2: Convert to fraction form
    648,217.60/972,034.80 = 293,048.80/x
  3. Step 3: Cross multiply
    648,217.60x = 972,034.80 × 293,048.80
  4. Step 4: Simplify right side
    648,217.60x = 284,853,631,698.24
  5. Step 5: Solve for x
    x = 284,853,631,698.24/648,217.60
  6. Step 6: Final answer
    x = 439,441.37

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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.