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Finding the Fourth Proportional to 487,958.10, 731,900.70 and 203,575.20

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Solution

The fourth proportional to 487,958.10, 731,900.70 and 203,575.20 is: 305,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,958.10 : 731,900.70 = 203,575.20 : x
  2. Step 2: Convert to fraction form
    487,958.10/731,900.70 = 203,575.20/x
  3. Step 3: Cross multiply
    487,958.10x = 731,900.70 × 203,575.20
  4. Step 4: Simplify right side
    487,958.10x = 148,996,831,382.64
  5. Step 5: Solve for x
    x = 148,996,831,382.64/487,958.10
  6. Step 6: Final answer
    x = 305,347.59

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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.