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Finding the Fourth Proportional to 200,010.30, 300,015.45 and 185,430.30

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Solution

The fourth proportional to 200,010.30, 300,015.45 and 185,430.30 is: 278,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,010.30 : 300,015.45 = 185,430.30 : x
  2. Step 2: Convert to fraction form
    200,010.30/300,015.45 = 185,430.30/x
  3. Step 3: Cross multiply
    200,010.30x = 300,015.45 × 185,430.30
  4. Step 4: Simplify right side
    200,010.30x = 55,631,954,898.14
  5. Step 5: Solve for x
    x = 55,631,954,898.14/200,010.30
  6. Step 6: Final answer
    x = 278,145.45

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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.