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Finding the Fourth Proportional to 648,241, 970,698.14 and 448,285.48

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Solution

The fourth proportional to 648,241, 970,698.14 and 448,285.48 is: 671,277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,241 : 970,698.14 = 448,285.48 : x
  2. Step 2: Convert to fraction form
    648,241/970,698.14 = 448,285.48/x
  3. Step 3: Cross multiply
    648,241x = 970,698.14 × 448,285.48
  4. Step 4: Simplify right side
    648,241x = 435,149,881,625.01
  5. Step 5: Solve for x
    x = 435,149,881,625.01/648,241
  6. Step 6: Final answer
    x = 671,277.94

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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.