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Finding the Fourth Proportional to 423,109.44, 634,830.12 and 186,286

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Solution

The fourth proportional to 423,109.44, 634,830.12 and 186,286 is: 279,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,109.44 : 634,830.12 = 186,286 : x
  2. Step 2: Convert to fraction form
    423,109.44/634,830.12 = 186,286/x
  3. Step 3: Cross multiply
    423,109.44x = 634,830.12 × 186,286
  4. Step 4: Simplify right side
    423,109.44x = 118,259,963,734.32
  5. Step 5: Solve for x
    x = 118,259,963,734.32/423,109.44
  6. Step 6: Final answer
    x = 279,502.07

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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.