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Finding the Fourth Proportional to 409,052.52, 613,611.60 and 142,807.14

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Solution

The fourth proportional to 409,052.52, 613,611.60 and 142,807.14 is: 214,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,052.52 : 613,611.60 = 142,807.14 : x
  2. Step 2: Convert to fraction form
    409,052.52/613,611.60 = 142,807.14/x
  3. Step 3: Cross multiply
    409,052.52x = 613,611.60 × 142,807.14
  4. Step 4: Simplify right side
    409,052.52x = 87,628,117,666.82
  5. Step 5: Solve for x
    x = 87,628,117,666.82/409,052.52
  6. Step 6: Final answer
    x = 214,222.17

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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.