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Finding the Fourth Proportional to 330,073.47, 455,508.63 and 201,018

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Solution

The fourth proportional to 330,073.47, 455,508.63 and 201,018 is: 277,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,073.47 : 455,508.63 = 201,018 : x
  2. Step 2: Convert to fraction form
    330,073.47/455,508.63 = 201,018/x
  3. Step 3: Cross multiply
    330,073.47x = 455,508.63 × 201,018
  4. Step 4: Simplify right side
    330,073.47x = 91,565,433,785.34
  5. Step 5: Solve for x
    x = 91,565,433,785.34/330,073.47
  6. Step 6: Final answer
    x = 277,409.25

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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.