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Finding the Fourth Proportional to 423,182.49, 634,626.11 and 186,396

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Solution

The fourth proportional to 423,182.49, 634,626.11 and 186,396 is: 279,528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,182.49 : 634,626.11 = 186,396 : x
  2. Step 2: Convert to fraction form
    423,182.49/634,626.11 = 186,396/x
  3. Step 3: Cross multiply
    423,182.49x = 634,626.11 × 186,396
  4. Step 4: Simplify right side
    423,182.49x = 118,291,767,467.58
  5. Step 5: Solve for x
    x = 118,291,767,467.58/423,182.49
  6. Step 6: Final answer
    x = 279,528.97

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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.