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Finding the Fourth Proportional to 200,308, 300,030.05 and 188,531.01

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Solution

The fourth proportional to 200,308, 300,030.05 and 188,531.01 is: 282,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,308 : 300,030.05 = 188,531.01 : x
  2. Step 2: Convert to fraction form
    200,308/300,030.05 = 188,531.01/x
  3. Step 3: Cross multiply
    200,308x = 300,030.05 × 188,531.01
  4. Step 4: Simplify right side
    200,308x = 56,564,965,914.05
  5. Step 5: Solve for x
    x = 56,564,965,914.05/200,308
  6. Step 6: Final answer
    x = 282,389.95

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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.