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Finding the Fourth Proportional to 356,011.93, 491,199.31 and 202,994.32

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Solution

The fourth proportional to 356,011.93, 491,199.31 and 202,994.32 is: 280,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,011.93 : 491,199.31 = 202,994.32 : x
  2. Step 2: Convert to fraction form
    356,011.93/491,199.31 = 202,994.32/x
  3. Step 3: Cross multiply
    356,011.93x = 491,199.31 × 202,994.32
  4. Step 4: Simplify right side
    356,011.93x = 99,710,669,917.92
  5. Step 5: Solve for x
    x = 99,710,669,917.92/356,011.93
  6. Step 6: Final answer
    x = 280,076.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.