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Finding the Fourth Proportional to 753,456, 1,039,769.68 and 413,946.12

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Solution

The fourth proportional to 753,456, 1,039,769.68 and 413,946.12 is: 571,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,456 : 1,039,769.68 = 413,946.12 : x
  2. Step 2: Convert to fraction form
    753,456/1,039,769.68 = 413,946.12/x
  3. Step 3: Cross multiply
    753,456x = 1,039,769.68 × 413,946.12
  4. Step 4: Simplify right side
    753,456x = 430,408,624,729.64
  5. Step 5: Solve for x
    x = 430,408,624,729.64/753,456
  6. Step 6: Final answer
    x = 571,245.87

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1.5x scale

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.