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Finding the Fourth Proportional to 501,821.40, 752,513.40 and 202,202.40

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Solution

The fourth proportional to 501,821.40, 752,513.40 and 202,202.40 is: 303,215.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,821.40 : 752,513.40 = 202,202.40 : x
  2. Step 2: Convert to fraction form
    501,821.40/752,513.40 = 202,202.40/x
  3. Step 3: Cross multiply
    501,821.40x = 752,513.40 × 202,202.40
  4. Step 4: Simplify right side
    501,821.40x = 152,160,015,512.16
  5. Step 5: Solve for x
    x = 152,160,015,512.16/501,821.40
  6. Step 6: Final answer
    x = 303,215.48

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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.