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Finding the Fourth Proportional to 200,338.60, 300,674.76 and 105,602.80

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Solution

The fourth proportional to 200,338.60, 300,674.76 and 105,602.80 is: 158,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,338.60 : 300,674.76 = 105,602.80 : x
  2. Step 2: Convert to fraction form
    200,338.60/300,674.76 = 105,602.80/x
  3. Step 3: Cross multiply
    200,338.60x = 300,674.76 × 105,602.80
  4. Step 4: Simplify right side
    200,338.60x = 31,752,096,545.33
  5. Step 5: Solve for x
    x = 31,752,096,545.33/200,338.60
  6. Step 6: Final answer
    x = 158,492.16

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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.