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Finding the Fourth Proportional to 282,431.70, 423,647.55 and 95,443.20

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Solution

The fourth proportional to 282,431.70, 423,647.55 and 95,443.20 is: 143,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,431.70 : 423,647.55 = 95,443.20 : x
  2. Step 2: Convert to fraction form
    282,431.70/423,647.55 = 95,443.20/x
  3. Step 3: Cross multiply
    282,431.70x = 423,647.55 × 95,443.20
  4. Step 4: Simplify right side
    282,431.70x = 40,434,277,844.16
  5. Step 5: Solve for x
    x = 40,434,277,844.16/282,431.70
  6. Step 6: Final answer
    x = 143,164.80

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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.