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Finding the Fourth Proportional to 282,013.70, 422,798.67 and 139,761.18

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Solution

The fourth proportional to 282,013.70, 422,798.67 and 139,761.18 is: 209,531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,013.70 : 422,798.67 = 139,761.18 : x
  2. Step 2: Convert to fraction form
    282,013.70/422,798.67 = 139,761.18/x
  3. Step 3: Cross multiply
    282,013.70x = 422,798.67 × 139,761.18
  4. Step 4: Simplify right side
    282,013.70x = 59,090,841,021.63
  5. Step 5: Solve for x
    x = 59,090,841,021.63/282,013.70
  6. Step 6: Final answer
    x = 209,531.81

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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.