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Finding the Fourth Proportional to 282,021.57, 422,810.48 and 139,769.10

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Solution

The fourth proportional to 282,021.57, 422,810.48 and 139,769.10 is: 209,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,021.57 : 422,810.48 = 139,769.10 : x
  2. Step 2: Convert to fraction form
    282,021.57/422,810.48 = 139,769.10/x
  3. Step 3: Cross multiply
    282,021.57x = 422,810.48 × 139,769.10
  4. Step 4: Simplify right side
    282,021.57x = 59,095,840,609.59
  5. Step 5: Solve for x
    x = 59,095,840,609.59/282,021.57
  6. Step 6: Final answer
    x = 209,543.69

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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.