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Finding the Fourth Proportional to 659,241, 988,811.82 and 209,943.72

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Solution

The fourth proportional to 659,241, 988,811.82 and 209,943.72 is: 314,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,241 : 988,811.82 = 209,943.72 : x
  2. Step 2: Convert to fraction form
    659,241/988,811.82 = 209,943.72/x
  3. Step 3: Cross multiply
    659,241x = 988,811.82 × 209,943.72
  4. Step 4: Simplify right side
    659,241x = 207,594,831,870.77
  5. Step 5: Solve for x
    x = 207,594,831,870.77/659,241
  6. Step 6: Final answer
    x = 314,899.76

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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.