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Finding the Fourth Proportional to 665,361.85, 998,139.10 and 209,798.45

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Solution

The fourth proportional to 665,361.85, 998,139.10 and 209,798.45 is: 314,728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,361.85 : 998,139.10 = 209,798.45 : x
  2. Step 2: Convert to fraction form
    665,361.85/998,139.10 = 209,798.45/x
  3. Step 3: Cross multiply
    665,361.85x = 998,139.10 × 209,798.45
  4. Step 4: Simplify right side
    665,361.85x = 209,408,036,064.40
  5. Step 5: Solve for x
    x = 209,408,036,064.40/665,361.85
  6. Step 6: Final answer
    x = 314,728.05

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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.