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Finding the Fourth Proportional to 580,786, 871,211.84 and 206,809.04

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Solution

The fourth proportional to 580,786, 871,211.84 and 206,809.04 is: 310,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,786 : 871,211.84 = 206,809.04 : x
  2. Step 2: Convert to fraction form
    580,786/871,211.84 = 206,809.04/x
  3. Step 3: Cross multiply
    580,786x = 871,211.84 × 206,809.04
  4. Step 4: Simplify right side
    580,786x = 180,174,484,267.03
  5. Step 5: Solve for x
    x = 180,174,484,267.03/580,786
  6. Step 6: Final answer
    x = 310,225.25

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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.