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Finding the Fourth Proportional to 409,015.00, 613,802.78 and 142,775.56

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Solution

The fourth proportional to 409,015.00, 613,802.78 and 142,775.56 is: 214,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,015.00 : 613,802.78 = 142,775.56 : x
  2. Step 2: Convert to fraction form
    409,015.00/613,802.78 = 142,775.56/x
  3. Step 3: Cross multiply
    409,015.00x = 613,802.78 × 142,775.56
  4. Step 4: Simplify right side
    409,015.00x = 87,636,036,232.84
  5. Step 5: Solve for x
    x = 87,636,036,232.84/409,015.00
  6. Step 6: Final answer
    x = 214,261.18

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1.5x scale

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.