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Finding the Fourth Proportional to 385,453.36, 578,136.24 and 148,775.68

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Solution

The fourth proportional to 385,453.36, 578,136.24 and 148,775.68 is: 223,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,453.36 : 578,136.24 = 148,775.68 : x
  2. Step 2: Convert to fraction form
    385,453.36/578,136.24 = 148,775.68/x
  3. Step 3: Cross multiply
    385,453.36x = 578,136.24 × 148,775.68
  4. Step 4: Simplify right side
    385,453.36x = 86,012,612,238.64
  5. Step 5: Solve for x
    x = 86,012,612,238.64/385,453.36
  6. Step 6: Final answer
    x = 223,146.61

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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.