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Finding the Fourth Proportional to 558,429.80, 838,065.69 and 409,052.84

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Solution

The fourth proportional to 558,429.80, 838,065.69 and 409,052.84 is: 613,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,429.80 : 838,065.69 = 409,052.84 : x
  2. Step 2: Convert to fraction form
    558,429.80/838,065.69 = 409,052.84/x
  3. Step 3: Cross multiply
    558,429.80x = 838,065.69 × 409,052.84
  4. Step 4: Simplify right side
    558,429.80x = 342,813,146,410.73
  5. Step 5: Solve for x
    x = 342,813,146,410.73/558,429.80
  6. Step 6: Final answer
    x = 613,887.64

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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.