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Finding the Fourth Proportional to 310,114.52, 428,004.32 and 189,325.83

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Solution

The fourth proportional to 310,114.52, 428,004.32 and 189,325.83 is: 261,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,114.52 : 428,004.32 = 189,325.83 : x
  2. Step 2: Convert to fraction form
    310,114.52/428,004.32 = 189,325.83/x
  3. Step 3: Cross multiply
    310,114.52x = 428,004.32 × 189,325.83
  4. Step 4: Simplify right side
    310,114.52x = 81,032,273,955.89
  5. Step 5: Solve for x
    x = 81,032,273,955.89/310,114.52
  6. Step 6: Final answer
    x = 261,297.90

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1.5x scale

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.