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Finding the Fourth Proportional to 331,193.80, 496,547.70 and 131,415.40

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Solution

The fourth proportional to 331,193.80, 496,547.70 and 131,415.40 is: 197,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,193.80 : 496,547.70 = 131,415.40 : x
  2. Step 2: Convert to fraction form
    331,193.80/496,547.70 = 131,415.40/x
  3. Step 3: Cross multiply
    331,193.80x = 496,547.70 × 131,415.40
  4. Step 4: Simplify right side
    331,193.80x = 65,254,014,614.58
  5. Step 5: Solve for x
    x = 65,254,014,614.58/331,193.80
  6. Step 6: Final answer
    x = 197,026.68

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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.