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Finding the Fourth Proportional to 331,335.80, 497,003.70 and 306,978.09

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Solution

The fourth proportional to 331,335.80, 497,003.70 and 306,978.09 is: 460,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,335.80 : 497,003.70 = 306,978.09 : x
  2. Step 2: Convert to fraction form
    331,335.80/497,003.70 = 306,978.09/x
  3. Step 3: Cross multiply
    331,335.80x = 497,003.70 × 306,978.09
  4. Step 4: Simplify right side
    331,335.80x = 152,569,246,548.93
  5. Step 5: Solve for x
    x = 152,569,246,548.93/331,335.80
  6. Step 6: Final answer
    x = 460,467.14

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1.5x scale

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.