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Finding the Fourth Proportional to 286,017, 429,138.48 and 108,571.11

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Solution

The fourth proportional to 286,017, 429,138.48 and 108,571.11 is: 162,899.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,017 : 429,138.48 = 108,571.11 : x
  2. Step 2: Convert to fraction form
    286,017/429,138.48 = 108,571.11/x
  3. Step 3: Cross multiply
    286,017x = 429,138.48 × 108,571.11
  4. Step 4: Simplify right side
    286,017x = 46,592,041,117.31
  5. Step 5: Solve for x
    x = 46,592,041,117.31/286,017
  6. Step 6: Final answer
    x = 162,899.55

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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.