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Finding the Fourth Proportional to 258,153.36, 356,253.84 and 144,986.64

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Solution

The fourth proportional to 258,153.36, 356,253.84 and 144,986.64 is: 200,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,153.36 : 356,253.84 = 144,986.64 : x
  2. Step 2: Convert to fraction form
    258,153.36/356,253.84 = 144,986.64/x
  3. Step 3: Cross multiply
    258,153.36x = 356,253.84 × 144,986.64
  4. Step 4: Simplify right side
    258,153.36x = 51,652,047,248.70
  5. Step 5: Solve for x
    x = 51,652,047,248.70/258,153.36
  6. Step 6: Final answer
    x = 200,082.80

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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.