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Finding the Fourth Proportional to 286,009.49, 429,127.24 and 108,563.60

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Solution

The fourth proportional to 286,009.49, 429,127.24 and 108,563.60 is: 162,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,009.49 : 429,127.24 = 108,563.60 : x
  2. Step 2: Convert to fraction form
    286,009.49/429,127.24 = 108,563.60/x
  3. Step 3: Cross multiply
    286,009.49x = 429,127.24 × 108,563.60
  4. Step 4: Simplify right side
    286,009.49x = 46,587,598,833.87
  5. Step 5: Solve for x
    x = 46,587,598,833.87/286,009.49
  6. Step 6: Final answer
    x = 162,888.30

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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.