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Finding the Fourth Proportional to 645,963.80, 968,945.69 and 266,894.36

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Solution

The fourth proportional to 645,963.80, 968,945.69 and 266,894.36 is: 400,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,963.80 : 968,945.69 = 266,894.36 : x
  2. Step 2: Convert to fraction form
    645,963.80/968,945.69 = 266,894.36/x
  3. Step 3: Cross multiply
    645,963.80x = 968,945.69 × 266,894.36
  4. Step 4: Simplify right side
    645,963.80x = 258,606,133,628.11
  5. Step 5: Solve for x
    x = 258,606,133,628.11/645,963.80
  6. Step 6: Final answer
    x = 400,341.53

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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.