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Finding the Fourth Proportional to 385,422.57, 577,801.62 and 148,931.19

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Solution

The fourth proportional to 385,422.57, 577,801.62 and 148,931.19 is: 223,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,422.57 : 577,801.62 = 148,931.19 : x
  2. Step 2: Convert to fraction form
    385,422.57/577,801.62 = 148,931.19/x
  3. Step 3: Cross multiply
    385,422.57x = 577,801.62 × 148,931.19
  4. Step 4: Simplify right side
    385,422.57x = 86,052,682,850.53
  5. Step 5: Solve for x
    x = 86,052,682,850.53/385,422.57
  6. Step 6: Final answer
    x = 223,268.41

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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.