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Finding the Fourth Proportional to 282,011.54, 422,892.77 and 132,130.98

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Solution

The fourth proportional to 282,011.54, 422,892.77 and 132,130.98 is: 198,138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,011.54 : 422,892.77 = 132,130.98 : x
  2. Step 2: Convert to fraction form
    282,011.54/422,892.77 = 132,130.98/x
  3. Step 3: Cross multiply
    282,011.54x = 422,892.77 × 132,130.98
  4. Step 4: Simplify right side
    282,011.54x = 55,877,235,474.36
  5. Step 5: Solve for x
    x = 55,877,235,474.36/282,011.54
  6. Step 6: Final answer
    x = 198,138.12

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1.5x scale

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.