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Finding the Fourth Proportional to 646,969.98, 970,629.68 and 197,678.58

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Solution

The fourth proportional to 646,969.98, 970,629.68 and 197,678.58 is: 296,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,969.98 : 970,629.68 = 197,678.58 : x
  2. Step 2: Convert to fraction form
    646,969.98/970,629.68 = 197,678.58/x
  3. Step 3: Cross multiply
    646,969.98x = 970,629.68 × 197,678.58
  4. Step 4: Simplify right side
    646,969.98x = 191,872,693,702.59
  5. Step 5: Solve for x
    x = 191,872,693,702.59/646,969.98
  6. Step 6: Final answer
    x = 296,571.25

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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.