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Finding the Fourth Proportional to 660,640.40, 912,062.04 and 434,942

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Solution

The fourth proportional to 660,640.40, 912,062.04 and 434,942 is: 600,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,640.40 : 912,062.04 = 434,942 : x
  2. Step 2: Convert to fraction form
    660,640.40/912,062.04 = 434,942/x
  3. Step 3: Cross multiply
    660,640.40x = 912,062.04 × 434,942
  4. Step 4: Simplify right side
    660,640.40x = 396,694,087,801.68
  5. Step 5: Solve for x
    x = 396,694,087,801.68/660,640.40
  6. Step 6: Final answer
    x = 600,469.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.