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Finding the Fourth Proportional to 1,177,373, 1,766,322.75 and 429,419

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Solution

The fourth proportional to 1,177,373, 1,766,322.75 and 429,419 is: 644,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,373 : 1,766,322.75 = 429,419 : x
  2. Step 2: Convert to fraction form
    1,177,373/1,766,322.75 = 429,419/x
  3. Step 3: Cross multiply
    1,177,373x = 1,766,322.75 × 429,419
  4. Step 4: Simplify right side
    1,177,373x = 758,492,548,982.25
  5. Step 5: Solve for x
    x = 758,492,548,982.25/1,177,373
  6. Step 6: Final answer
    x = 644,224.51

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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.