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Finding the Fourth Proportional to 331,356.60, 497,117.70 and 106,738.20

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Solution

The fourth proportional to 331,356.60, 497,117.70 and 106,738.20 is: 160,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,356.60 : 497,117.70 = 106,738.20 : x
  2. Step 2: Convert to fraction form
    331,356.60/497,117.70 = 106,738.20/x
  3. Step 3: Cross multiply
    331,356.60x = 497,117.70 × 106,738.20
  4. Step 4: Simplify right side
    331,356.60x = 53,061,448,486.14
  5. Step 5: Solve for x
    x = 53,061,448,486.14/331,356.60
  6. Step 6: Final answer
    x = 160,133.97

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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.