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Finding the Fourth Proportional to 286,274.32, 429,185.64 and 180,871.12

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Solution

The fourth proportional to 286,274.32, 429,185.64 and 180,871.12 is: 271,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,274.32 : 429,185.64 = 180,871.12 : x
  2. Step 2: Convert to fraction form
    286,274.32/429,185.64 = 180,871.12/x
  3. Step 3: Cross multiply
    286,274.32x = 429,185.64 × 180,871.12
  4. Step 4: Simplify right side
    286,274.32x = 77,627,287,394.72
  5. Step 5: Solve for x
    x = 77,627,287,394.72/286,274.32
  6. Step 6: Final answer
    x = 271,163.99

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1.5x scale

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.