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Finding the Fourth Proportional to 355,814.37, 491,052.78 and 202,900.14

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Solution

The fourth proportional to 355,814.37, 491,052.78 and 202,900.14 is: 280,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,814.37 : 491,052.78 = 202,900.14 : x
  2. Step 2: Convert to fraction form
    355,814.37/491,052.78 = 202,900.14/x
  3. Step 3: Cross multiply
    355,814.37x = 491,052.78 × 202,900.14
  4. Step 4: Simplify right side
    355,814.37x = 99,634,677,809.39
  5. Step 5: Solve for x
    x = 99,634,677,809.39/355,814.37
  6. Step 6: Final answer
    x = 280,018.70

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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.