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Finding the Fourth Proportional to 286,592.82, 429,893.36 and 109,109.57

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Solution

The fourth proportional to 286,592.82, 429,893.36 and 109,109.57 is: 163,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,592.82 : 429,893.36 = 109,109.57 : x
  2. Step 2: Convert to fraction form
    286,592.82/429,893.36 = 109,109.57/x
  3. Step 3: Cross multiply
    286,592.82x = 429,893.36 × 109,109.57
  4. Step 4: Simplify right side
    286,592.82x = 46,905,479,655.46
  5. Step 5: Solve for x
    x = 46,905,479,655.46/286,592.82
  6. Step 6: Final answer
    x = 163,665.93

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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.