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Finding the Fourth Proportional to 727,571, 1,004,047.98 and 425,765

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Solution

The fourth proportional to 727,571, 1,004,047.98 and 425,765 is: 587,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,571 : 1,004,047.98 = 425,765 : x
  2. Step 2: Convert to fraction form
    727,571/1,004,047.98 = 425,765/x
  3. Step 3: Cross multiply
    727,571x = 1,004,047.98 × 425,765
  4. Step 4: Simplify right side
    727,571x = 427,488,488,204.70
  5. Step 5: Solve for x
    x = 427,488,488,204.70/727,571
  6. Step 6: Final answer
    x = 587,555.70

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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.