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Finding the Fourth Proportional to 614,512.80, 921,769.20 and 446,551.20

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Solution

The fourth proportional to 614,512.80, 921,769.20 and 446,551.20 is: 669,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,512.80 : 921,769.20 = 446,551.20 : x
  2. Step 2: Convert to fraction form
    614,512.80/921,769.20 = 446,551.20/x
  3. Step 3: Cross multiply
    614,512.80x = 921,769.20 × 446,551.20
  4. Step 4: Simplify right side
    614,512.80x = 411,617,142,383.04
  5. Step 5: Solve for x
    x = 411,617,142,383.04/614,512.80
  6. Step 6: Final answer
    x = 669,826.80

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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.