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Finding the Fourth Proportional to 422,810.48, 632,971.56 and 282,220.40

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Solution

The fourth proportional to 422,810.48, 632,971.56 and 282,220.40 is: 422,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,810.48 : 632,971.56 = 282,220.40 : x
  2. Step 2: Convert to fraction form
    422,810.48/632,971.56 = 282,220.40/x
  3. Step 3: Cross multiply
    422,810.48x = 632,971.56 × 282,220.40
  4. Step 4: Simplify right side
    422,810.48x = 178,637,486,851.82
  5. Step 5: Solve for x
    x = 178,637,486,851.82/422,810.48
  6. Step 6: Final answer
    x = 422,500.14

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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.