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Finding the Fourth Proportional to 330,074.47, 455,510.01 and 201,019

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Solution

The fourth proportional to 330,074.47, 455,510.01 and 201,019 is: 277,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,074.47 : 455,510.01 = 201,019 : x
  2. Step 2: Convert to fraction form
    330,074.47/455,510.01 = 201,019/x
  3. Step 3: Cross multiply
    330,074.47x = 455,510.01 × 201,019
  4. Step 4: Simplify right side
    330,074.47x = 91,566,166,700.19
  5. Step 5: Solve for x
    x = 91,566,166,700.19/330,074.47
  6. Step 6: Final answer
    x = 277,410.63

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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.