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Finding the Fourth Proportional to 200,219.40, 300,329.10 and 125,569.80

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Solution

The fourth proportional to 200,219.40, 300,329.10 and 125,569.80 is: 188,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,219.40 : 300,329.10 = 125,569.80 : x
  2. Step 2: Convert to fraction form
    200,219.40/300,329.10 = 125,569.80/x
  3. Step 3: Cross multiply
    200,219.40x = 300,329.10 × 125,569.80
  4. Step 4: Simplify right side
    200,219.40x = 37,712,265,021.18
  5. Step 5: Solve for x
    x = 37,712,265,021.18/200,219.40
  6. Step 6: Final answer
    x = 188,354.70

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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.